Adamović, Dražen; Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo Defining relations for minimal unitary quantum affine W-algebras. (English) Zbl 07801695 Commun. Math. Phys. 405, No. 2, Paper No. 33, 25 p. (2024). MSC: 17Bxx 81Txx 81Rxx PDFBibTeX XMLCite \textit{D. Adamović} et al., Commun. Math. Phys. 405, No. 2, Paper No. 33, 25 p. (2024; Zbl 07801695) Full Text: DOI arXiv OA License
Cantarini, Nicoletta; Caselli, Fabrizio; Kac, Victor A Lie conformal superalgebra and duality of representations for \(E(4,4)\). (English) Zbl 07794563 Adv. Math. 437, Article ID 109416, 21 p. (2024). MSC: 17B05 17B65 17B70 PDFBibTeX XMLCite \textit{N. Cantarini} et al., Adv. Math. 437, Article ID 109416, 21 p. (2024; Zbl 07794563) Full Text: DOI arXiv
Bakalov, Bojko; Elsinger, Jason; Kac, Victor G.; Todorov, Ivan Orbifolds of lattice vertex algebras. (English) Zbl 07751174 Jpn. J. Math. (3) 18, No. 2, 169-274 (2023). MSC: 17B69 81R10 PDFBibTeX XMLCite \textit{B. Bakalov} et al., Jpn. J. Math. (3) 18, No. 2, 169--274 (2023; Zbl 07751174) Full Text: DOI arXiv
Kac, Victor; van de Leur, Johan Multicomponent KP type hierarchies and their reductions, associated to conjugacy classes of Weyl groups of classical Lie algebras. (English) Zbl 1521.37073 J. Math. Phys. 64, No. 9, Article ID 091702, 91 p. (2023). MSC: 37K10 37K30 17B67 17B80 PDFBibTeX XMLCite \textit{V. Kac} and \textit{J. van de Leur}, J. Math. Phys. 64, No. 9, Article ID 091702, 91 p. (2023; Zbl 1521.37073) Full Text: DOI arXiv
Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo Unitarity of minimal \(W\)-algebras and their representations. I. (English) Zbl 07700880 Commun. Math. Phys. 401, No. 1, 79-145 (2023). MSC: 17B69 17B10 81R10 PDFBibTeX XMLCite \textit{V. G. Kac} et al., Commun. Math. Phys. 401, No. 1, 79--145 (2023; Zbl 07700880) Full Text: DOI arXiv
Gorelik, Maria; Kac, Victor G. On simplicity of universal minimal W-algebras. arXiv:2307.14220 Preprint, arXiv:2307.14220 [math.RT] (2023). MSC: 17B67 17B68 BibTeX Cite \textit{M. Gorelik} and \textit{V. G. Kac}, ``On simplicity of universal minimal W-algebras'', Preprint, arXiv:2307.14220 [math.RT] (2023) Full Text: arXiv OA License
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele On Lax operators. (English) Zbl 1522.37077 Jpn. J. Math. (3) 17, No. 1, 63-116 (2022). MSC: 37K10 37K06 37K20 37K30 17B80 PDFBibTeX XMLCite \textit{A. De Sole} et al., Jpn. J. Math. (3) 17, No. 1, 63--116 (2022; Zbl 1522.37077) Full Text: DOI arXiv
Kac, Victor G.; Wakimoto, Minoru On free field realization of quantum affine \(W\)-algebras. (English) Zbl 07593339 Commun. Math. Phys. 395, No. 2, 571-600 (2022). MSC: 17B67 81R10 PDFBibTeX XMLCite \textit{V. G. Kac} and \textit{M. Wakimoto}, Commun. Math. Phys. 395, No. 2, 571--600 (2022; Zbl 07593339) Full Text: DOI arXiv
Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo Invariant Hermitian forms on vertex algebras. (English) Zbl 1497.17038 Commun. Contemp. Math. 24, No. 5, Article ID 2150059, 41 p. (2022). MSC: 17B69 17B68 PDFBibTeX XMLCite \textit{V. G. Kac} et al., Commun. Contemp. Math. 24, No. 5, Article ID 2150059, 41 p. (2022; Zbl 1497.17038) Full Text: DOI arXiv
Elashvili, A. G.; Jibladze, M.; Kac, V. G. Semisimple cyclic elements in semisimple Lie algebras. (English) Zbl 1497.17014 Transform. Groups 27, No. 2, 429-470 (2022). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B20 PDFBibTeX XMLCite \textit{A. G. Elashvili} et al., Transform. Groups 27, No. 2, 429--470 (2022; Zbl 1497.17014) Full Text: DOI arXiv Backlinks: MO MO
Kac, Victor G.; De Leur, Johan W. van Polynomial tau-functions for the multicomponent KP hierarchy. (English) Zbl 1483.14085 Publ. Res. Inst. Math. Sci. 58, No. 1, 1-19 (2022). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14M15 17B10 17B67 20G44 22E70 35Q53 PDFBibTeX XMLCite \textit{V. G. Kac} and \textit{J. W. van De Leur}, Publ. Res. Inst. Math. Sci. 58, No. 1, 1--19 (2022; Zbl 1483.14085) Full Text: DOI arXiv
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele Adler-Oevel-Ragnisco type operators and Poisson vertex algebras. arXiv:2208.00154 Preprint, arXiv:2208.00154 [nlin.SI] (2022). MSC: 17B69 37K10 37K30 BibTeX Cite \textit{A. De Sole} et al., ``Adler-Oevel-Ragnisco type operators and Poisson vertex algebras'', Preprint, arXiv:2208.00154 [nlin.SI] (2022) Full Text: arXiv OA License
Bakalov, Bojko; De Sole, Alberto; Kac, Victor G.; Vignoli, Veronica Poisson vertex algebra cohomology and differential Harrison cohomology. (English) Zbl 1497.17037 Alekseev, Anton (ed.) et al., Representation theory, mathematical physics, and integrable systems. In honor of Nicolai Reshetikhin. Cham: Birkhäuser. Prog. Math. 340, 39-69 (2021). MSC: 17B69 17B63 PDFBibTeX XMLCite \textit{B. Bakalov} et al., Prog. Math. 340, 39--69 (2021; Zbl 1497.17037) Full Text: DOI arXiv
Bakalov, Bojko; De Sole, Alberto; Heluani, Reimundo; Kac, Victor G.; Vignoli, Veronica Classical and variational Poisson cohomology. (English) Zbl 1487.17050 Jpn. J. Math. (3) 16, No. 2, 203-246 (2021). Reviewer: Lewis Topley (Birmingham) MSC: 17B69 17B63 17B56 PDFBibTeX XMLCite \textit{B. Bakalov} et al., Jpn. J. Math. (3) 16, No. 2, 203--246 (2021; Zbl 1487.17050) Full Text: DOI arXiv
Jibladze, Mamuka; Kac, Victor G. Normal forms of nilpotent elements in semisimple Lie algebras. (English) Zbl 1481.17015 Indag. Math., New Ser. 32, No. 6, 1311-1331 (2021). Reviewer: Meng-Kiat Chuah (Hsinchu) MSC: 17B20 PDFBibTeX XMLCite \textit{M. Jibladze} and \textit{V. G. Kac}, Indag. Math., New Ser. 32, No. 6, 1311--1331 (2021; Zbl 1481.17015) Full Text: DOI arXiv
De Sole, Alberto; Jibladze, Mamuka; Kac, Victor G.; Valeri, Daniele Integrable triples in semisimple Lie algebras. (English) Zbl 1512.17012 Lett. Math. Phys. 111, No. 5, Paper No. 117, 64 p. (2021). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B20 17B25 17B70 17B80 20G05 20G41 PDFBibTeX XMLCite \textit{A. De Sole} et al., Lett. Math. Phys. 111, No. 5, Paper No. 117, 64 p. (2021; Zbl 1512.17012) Full Text: DOI arXiv
Bakalov, Bojko; D’Andrea, Alessandro; Kac, Victor G. Irreducible modules over finite simple Lie pseudoalgebras. III: Primitive pseudoalgebras of type \(H\). (English) Zbl 1511.17067 Adv. Math. 392, Article ID 107963, 81 p. (2021). MSC: 17B99 17B66 17B10 PDFBibTeX XMLCite \textit{B. Bakalov} et al., Adv. Math. 392, Article ID 107963, 81 p. (2021; Zbl 1511.17067) Full Text: DOI arXiv
De Sole, Alberto; Jibladze, Mamuka; Kac, Victor G.; Valeri, Daniele Integrability of classical affine \(W\)-algebras. (English) Zbl 1511.17059 Transform. Groups 26, No. 2, 479-500 (2021). MSC: 17B67 17B80 37K10 PDFBibTeX XMLCite \textit{A. De Sole} et al., Transform. Groups 26, No. 2, 479--500 (2021; Zbl 1511.17059) Full Text: DOI arXiv
Cantarini, Nicoletta; Caselli, Fabrizio; Kac, Victor Classification of degenerate Verma modules for \(E(5, 10)\). (English) Zbl 1482.17023 Commun. Math. Phys. 385, No. 2, 963-1005 (2021). Reviewer: Tiago Macedo (São Paulo) MSC: 17B10 PDFBibTeX XMLCite \textit{N. Cantarini} et al., Commun. Math. Phys. 385, No. 2, 963--1005 (2021; Zbl 1482.17023) Full Text: DOI arXiv
Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo Yangians versus minimal \(W\)-algebras: a surprising coincidence. (English) Zbl 1496.17011 Commun. Contemp. Math. 23, No. 4, Article ID 2050036, 36 p. (2021). Reviewer: Andrea Appel (Parma) MSC: 17B37 17B69 PDFBibTeX XMLCite \textit{V. G. Kac} et al., Commun. Contemp. Math. 23, No. 4, Article ID 2050036, 36 p. (2021; Zbl 1496.17011) Full Text: DOI arXiv
Bakalov, Bojko; De Sole, Alberto; Kac, Victor G. Computation of cohomology of vertex algebras. (English) Zbl 1509.17020 Jpn. J. Math. (3) 16, No. 1, 81-154 (2021). MSC: 17B69 17B63 17B56 17B80 18M60 PDFBibTeX XMLCite \textit{B. Bakalov} et al., Jpn. J. Math. (3) 16, No. 1, 81--154 (2021; Zbl 1509.17020) Full Text: DOI arXiv
Cantarini, Nicoletta; Caselli, Fabrizio; Kac, Victor Lie conformal superalgebras and duality of modules over linearly compact Lie superalgebras. (English) Zbl 1472.17084 Adv. Math. 378, Article ID 107523, 46 p. (2021). Reviewer: Tiago Macedo (São Paulo) MSC: 17B65 17B70 17B05 PDFBibTeX XMLCite \textit{N. Cantarini} et al., Adv. Math. 378, Article ID 107523, 46 p. (2021; Zbl 1472.17084) Full Text: DOI arXiv
Bakalov, Bojko; De Sole, Alberto; Heluani, Reimundo; Kac, Victor G. Chiral versus classical operad. (English) Zbl 1483.17019 Int. Math. Res. Not. 2020, No. 19, 6463-6488 (2020). MSC: 17B69 05E10 17B63 18M70 18M80 PDFBibTeX XMLCite \textit{B. Bakalov} et al., Int. Math. Res. Not. 2020, No. 19, 6463--6488 (2020; Zbl 1483.17019) Full Text: DOI arXiv
Carpentier, Sylvain; De Sole, Alberto; Kac, Victor G.; Valeri, Daniele; van de Leur, Johan \( \underline{p} \)-reduced multicomponent KP hierarchy and classical \(\mathcal{W} \)-algebras \(\mathcal{W}(\mathfrak{gl}_N,\underline{p})\). (English) Zbl 1458.37068 Commun. Math. Phys. 380, No. 2, 655-722 (2020). MSC: 37K10 37K30 17B63 17B69 17B80 PDFBibTeX XMLCite \textit{S. Carpentier} et al., Commun. Math. Phys. 380, No. 2, 655--722 (2020; Zbl 1458.37068) Full Text: DOI arXiv
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele; Wakimoto, Minoru Poisson \(\lambda\)-brackets for differential-difference equations. (English) Zbl 1473.37079 Int. Math. Res. Not. 2020, No. 13, 4144-4190 (2020). Reviewer: Yarema Prykarpatskyy (Kraków) MSC: 37K06 37K30 37J06 37J37 39A36 17B63 PDFBibTeX XMLCite \textit{A. De Sole} et al., Int. Math. Res. Not. 2020, No. 13, 4144--4190 (2020; Zbl 1473.37079) Full Text: DOI arXiv
Adamović, Dražen; Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo; Perše, Ozren An application of collapsing levels to the representation theory of affine vertex algebras. (English) Zbl 1457.17020 Int. Math. Res. Not. 2020, No. 13, 4103-4143 (2020). MSC: 17B69 PDFBibTeX XMLCite \textit{D. Adamović} et al., Int. Math. Res. Not. 2020, No. 13, 4103--4143 (2020; Zbl 1457.17020) Full Text: DOI arXiv
Bakalov, Bojko; De Sole, Alberto; Kac, Victor G. Computation of cohomology of Lie conformal and Poisson vertex algebras. (English) Zbl 1479.17036 Sel. Math., New Ser. 26, No. 4, Paper No. 50, 51 p. (2020). MSC: 17B56 17B69 17B63 PDFBibTeX XMLCite \textit{B. Bakalov} et al., Sel. Math., New Ser. 26, No. 4, Paper No. 50, 51 p. (2020; Zbl 1479.17036) Full Text: DOI arXiv
De Sole, Alberto; Gardini, Matteo; Kac, Victor G. On the structure of quantum vertex algebras. (English) Zbl 1431.81077 J. Math. Phys. 61, No. 1, 011701, 29 p. (2020). MSC: 81R50 17B37 17B69 16T20 18M15 PDFBibTeX XMLCite \textit{A. De Sole} et al., J. Math. Phys. 61, No. 1, 011701, 29 p. (2020; Zbl 1431.81077) Full Text: DOI arXiv
Elashvili, A.; Jibladze, M.; Kac, V. Semisimplicity sets for cyclic elements in simple Lie algebras. (English) Zbl 1477.17060 Trans. A. Razmadze Math. Inst. 173, No. 2, 95-100 (2019). MSC: 17B20 17B25 17B70 17B80 17C20 17C50 17D10 PDFBibTeX XMLCite \textit{A. Elashvili} et al., Trans. A. Razmadze Math. Inst. 173, No. 2, 95--100 (2019; Zbl 1477.17060) Full Text: Link Backlinks: MO MO
Elashvili, Alexander; Jibladze, Mamuka; Kac, Victor On Dynkin gradings in simple Lie algebras. (English) Zbl 1436.17039 Gorelik, Maria (ed.) et al., Representations and nilpotent orbits of Lie algebraic systems. In honour of the 75th birthday of Tony Joseph. Based on the 2017 conferences “Algebraic Modes of Representations”, Weizmann Institute of Science, Rehovot, Israel, July 16–18, 2017 and University of Haifa, Haifa, Israel, July 19–13, 2017. Cham: Birkhäuser. Prog. Math. 330, 111-131 (2019). MSC: 17B70 17B08 17B10 17B20 17B22 17B25 17B80 PDFBibTeX XMLCite \textit{A. Elashvili} et al., Prog. Math. 330, 111--131 (2019; Zbl 1436.17039) Full Text: DOI arXiv
Adamović, Dražen; Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo; Perše, Ozren Kostant pairs of Lie type and conformal embeddings. (English) Zbl 1475.17046 Adamović, Dražen (ed.) et al., Affine, vertex and \(W\)-algebras. Based on the INdAM workshop, Rome, Italy, December 11–15, 2017. Cham: Springer. Springer INdAM Ser. 37, 1-22 (2019). Reviewer: Lorenzo Panebianco (Roma) MSC: 17B69 PDFBibTeX XMLCite \textit{D. Adamović} et al., Springer INdAM Ser. 37, 1--22 (2019; Zbl 1475.17046) Full Text: DOI arXiv
Bakalov, Bojko; De Sole, Alberto; Heluani, Reimundo; Kac, Victor G. An operadic approach to vertex algebra and Poisson vertex algebra cohomology. (English) Zbl 1471.17048 Jpn. J. Math. (3) 14, No. 2, 249-342 (2019). Reviewer: Noémie Combe (Leipzig) MSC: 17B69 18M60 17B65 17B63 17B80 PDFBibTeX XMLCite \textit{B. Bakalov} et al., Jpn. J. Math. (3) 14, No. 2, 249--342 (2019; Zbl 1471.17048) Full Text: DOI arXiv Link
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele; Wakimoto, Minoru Local and non-local multiplicative Poisson vertex algebras and differential-difference equations. (English) Zbl 1421.35323 Commun. Math. Phys. 370, No. 3, 1019-1068 (2019). MSC: 35Q53 37K10 17B80 17B69 37K30 PDFBibTeX XMLCite \textit{A. De Sole} et al., Commun. Math. Phys. 370, No. 3, 1019--1068 (2019; Zbl 1421.35323) Full Text: DOI arXiv Link
Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo Corrigendum to: “Multiplets of representations, twisted Dirac operators and Vogan’s conjecture in affine setting”. (English) Zbl 1473.17067 Adv. Math. 351, 1201-1209 (2019). MSC: 17B67 17B10 17B69 58J60 PDFBibTeX XMLCite \textit{V. G. Kac} et al., Adv. Math. 351, 1201--1209 (2019; Zbl 1473.17067) Full Text: DOI
Dong, Chongying; Kac, Victor; Ren, Li Trace functions of the parafermion vertex operator algebras. (English) Zbl 1473.17070 Adv. Math. 348, 1-17 (2019). MSC: 17B69 47L10 46L70 PDFBibTeX XMLCite \textit{C. Dong} et al., Adv. Math. 348, 1--17 (2019; Zbl 1473.17070) Full Text: DOI arXiv
Kac, Victor G.; Wakimoto, Minoru On characters of irreducible highest weight modules of negative integer level over affine Lie algebras. (English) Zbl 1459.17042 Kac, Victor G. (ed.) et al., Lie groups, geometry, and representation theory. A tribute to the life and work of Bertram Kostant. Cham: Birkhäuser. Prog. Math. 326, 235-252 (2018). MSC: 17B67 17B65 17B10 PDFBibTeX XMLCite \textit{V. G. Kac} and \textit{M. Wakimoto}, Prog. Math. 326, 235--252 (2018; Zbl 1459.17042) Full Text: DOI arXiv
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele A Lax type operator for quantum finite \(W\)-algebras. (English) Zbl 1456.17008 Sel. Math., New Ser. 24, No. 5, 4617-4657 (2018). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B08 17B63 17B35 17B80 PDFBibTeX XMLCite \textit{A. De Sole} et al., Sel. Math., New Ser. 24, No. 5, 4617--4657 (2018; Zbl 1456.17008) Full Text: DOI arXiv
Kac, Victor G. (ed.); Popov, Vladimir L. (ed.) Lie groups, geometry, and representation theory. A tribute to the life and work of Bertram Kostant. (English) Zbl 1412.22001 Progress in Mathematics 326. Cham: Birkhäuser (ISBN 978-3-030-02190-0/hbk; 978-3-030-02191-7/ebook). xii, 540 p. (2018). MSC: 22-06 17-06 17B81 22E70 00B30 00B15 PDFBibTeX XMLCite \textit{V. G. Kac} (ed.) and \textit{V. L. Popov} (ed.), Lie groups, geometry, and representation theory. A tribute to the life and work of Bertram Kostant. Cham: Birkhäuser (2018; Zbl 1412.22001) Full Text: DOI
Kac, Victor G.; van de Leur, Johan W. Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions. (English) Zbl 1401.14209 Jpn. J. Math. (3) 13, No. 2, 235-271 (2018). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14M15 17B10 17B65 17B67 20G43 22E70 35Q53 35R03 47G30 PDFBibTeX XMLCite \textit{V. G. Kac} and \textit{J. W. van de Leur}, Jpn. J. Math. (3) 13, No. 2, 235--271 (2018; Zbl 1401.14209) Full Text: DOI arXiv Link
Adamović, Dražen; Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo; Perše, Ozren On the classification of non-equal rank affine conformal embeddings and applications. (English) Zbl 1447.17018 Sel. Math., New Ser. 24, No. 3, 2455-2498 (2018). MSC: 17B69 17B20 17B65 PDFBibTeX XMLCite \textit{D. Adamović} et al., Sel. Math., New Ser. 24, No. 3, 2455--2498 (2018; Zbl 1447.17018) Full Text: DOI arXiv
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele Classical affine \(\mathcal W\)-algebras and the associated integrable Hamiltonian hierarchies for classical Lie algebras. (English) Zbl 1426.17015 Commun. Math. Phys. 360, No. 3, 851-918 (2018). MSC: 17B80 17B69 37K10 37K30 PDFBibTeX XMLCite \textit{A. De Sole} et al., Commun. Math. Phys. 360, No. 3, 851--918 (2018; Zbl 1426.17015) Full Text: DOI arXiv
Adamović, Dražen; Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo; Perše, Ozren Conformal embeddings of affine vertex algebras in minimal \(W\)-algebras. I: Structural results. (English) Zbl 1420.17028 J. Algebra 500, 117-152 (2018). MSC: 17B69 17B20 17B65 PDFBibTeX XMLCite \textit{D. Adamović} et al., J. Algebra 500, 117--152 (2018; Zbl 1420.17028) Full Text: DOI arXiv
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele Finite \(W\)-algebras for \(\mathfrak{gl}_N\). (English) Zbl 1398.17007 Adv. Math. 327, 173-224 (2018). MSC: 17B35 17B70 37K10 PDFBibTeX XMLCite \textit{A. De Sole} et al., Adv. Math. 327, 173--224 (2018; Zbl 1398.17007) Full Text: DOI arXiv
Kac, V. G.; Wakimoto, M. Representations of superconformal algebras and mock theta functions. (English) Zbl 1436.17034 Trans. Mosc. Math. Soc. 2017, 9-74 (2017) and Tr. Mosk. Mat. O.-va 78, No. 1, 17-88 (2017). MSC: 17B67 17B10 17B68 11F50 33E05 PDFBibTeX XMLCite \textit{V. G. Kac} and \textit{M. Wakimoto}, Trans. Mosc. Math. Soc. 2017, 9--74 (2017; Zbl 1436.17034) Full Text: DOI arXiv
Kac, Victor Introduction to vertex algebras, Poisson vertex algebras, and integrable Hamiltonian PDE. (English) Zbl 1430.17088 Callegaro, Filippo (ed.) et al., Perspectives in Lie theory. Selected papers based on the presentations at the INdAM intensive research period, Pisa, Italy, December 2014 – February 2015. Cham: Springer. Springer INdAM Ser. 19, 3-72 (2017). MSC: 17B69 35A30 PDFBibTeX XMLCite \textit{V. Kac}, Springer INdAM Ser. 19, 3--72 (2017; Zbl 1430.17088) Full Text: DOI arXiv
Adamović, Dražen; Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo; Perše, Ozren Conformal embeddings of affine vertex algebras in minimal \(W\)-algebras. II: Decompositions. (English) Zbl 1425.17037 Jpn. J. Math. (3) 12, No. 2, 261-315 (2017). MSC: 17B69 17B20 17B65 PDFBibTeX XMLCite \textit{D. Adamović} et al., Jpn. J. Math. (3) 12, No. 2, 261--315 (2017; Zbl 1425.17037) Full Text: DOI arXiv
Kac, Victor G.; Wakimoto, Minoru A remark on boundary level admissible representations. (Une remarque sur les représentations admissibles de niveau limite.) (English. French summary) Zbl 1418.17054 C. R., Math., Acad. Sci. Paris 355, No. 2, 128-132 (2017). MSC: 17B67 17B10 PDFBibTeX XMLCite \textit{V. G. Kac} and \textit{M. Wakimoto}, C. R., Math., Acad. Sci. Paris 355, No. 2, 128--132 (2017; Zbl 1418.17054) Full Text: DOI arXiv
Adamović, Dražen; Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo; Perše, Ozren Finite vs. infinite decompositions in conformal embeddings. (English) Zbl 1405.17049 Commun. Math. Phys. 348, No. 2, 445-473 (2016). MSC: 17B67 17B69 PDFBibTeX XMLCite \textit{D. Adamović} et al., Commun. Math. Phys. 348, No. 2, 445--473 (2016; Zbl 1405.17049) Full Text: DOI arXiv
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele A new scheme of integrability for (bi)Hamiltonian PDE. (English) Zbl 1393.17048 Commun. Math. Phys. 347, No. 2, 449-488 (2016). MSC: 17B80 17B63 17B69 37K30 PDFBibTeX XMLCite \textit{A. De Sole} et al., Commun. Math. Phys. 347, No. 2, 449--488 (2016; Zbl 1393.17048) Full Text: DOI arXiv
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele Classical affine \(\mathcal{W}\)-algebras for \(\mathfrak{gl}_N\) and associated integrable Hamiltonian hierarchies. (English) Zbl 1433.17038 Commun. Math. Phys. 348, No. 1, 265-319 (2016). MSC: 17B80 17B69 37K10 37K30 PDFBibTeX XMLCite \textit{A. De Sole} et al., Commun. Math. Phys. 348, No. 1, 265--319 (2016; Zbl 1433.17038) Full Text: DOI arXiv
Kac, Victor G.; Wakimoto, Minoru Representations of affine superalgebras and mock theta functions. III. (English) Zbl 1373.17027 Izv. Math. 80, No. 4, 693-750 (2016) and Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 4, 65-122 (2016). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 11F27 PDFBibTeX XMLCite \textit{V. G. Kac} and \textit{M. Wakimoto}, Izv. Math. 80, No. 4, 693--750 (2016; Zbl 1373.17027) Full Text: DOI arXiv
Kac, Victor G.; Wakimoto, Minoru Representations of affine superalgebras and mock theta functions. II. (English) Zbl 1372.17020 Adv. Math. 300, 17-70 (2016). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 11F27 PDFBibTeX XMLCite \textit{V. G. Kac} and \textit{M. Wakimoto}, Adv. Math. 300, 17--70 (2016; Zbl 1372.17020) Full Text: DOI arXiv
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele Structure of classical (finite and affine) \(\mathcal W\)-algebras. (English) Zbl 1395.17063 J. Eur. Math. Soc. (JEMS) 18, No. 9, 1873-1908 (2016). MSC: 17B69 17B08 17B63 37K30 PDFBibTeX XMLCite \textit{A. De Sole} et al., J. Eur. Math. Soc. (JEMS) 18, No. 9, 1873--1908 (2016; Zbl 1395.17063) Full Text: DOI arXiv
Cantarini, Nicoletta; Kac, Victor G. Classification of linearly compact simple Nambu-Poisson algebras. (English) Zbl 1386.17025 J. Math. Phys. 57, No. 5, 051701, 18 p. (2016). MSC: 17B63 PDFBibTeX XMLCite \textit{N. Cantarini} and \textit{V. G. Kac}, J. Math. Phys. 57, No. 5, 051701, 18 p. (2016; Zbl 1386.17025) Full Text: DOI arXiv Link
Gorelik, Maria; Kac, Victor G. Characters of (relatively) integrable modules over affine Lie superalgebras. (English) Zbl 1378.17017 Jpn. J. Math. (3) 10, No. 2, 135-235 (2015). MSC: 17B10 05E10 PDFBibTeX XMLCite \textit{M. Gorelik} and \textit{V. G. Kac}, Jpn. J. Math. (3) 10, No. 2, 135--235 (2015; Zbl 1378.17017) Full Text: DOI arXiv Link
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele Adler-Gelfand-Dickey approach to classical \(\mathcal{W}\)-algebras within the theory of Poisson vertex algebras. (English) Zbl 1327.17024 Int. Math. Res. Not. 2015, No. 21, 11186-11235 (2015). MSC: 17B69 37K10 17B80 53D17 PDFBibTeX XMLCite \textit{A. De Sole} et al., Int. Math. Res. Not. 2015, No. 21, 11186--11235 (2015; Zbl 1327.17024) Full Text: DOI arXiv
Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo; Xu, Feng Conformal embeddings and simple current extensions. (English) Zbl 1418.17059 Int. Math. Res. Not. 2015, No. 14, 5229-5288 (2015). MSC: 17B69 17B20 17B67 PDFBibTeX XMLCite \textit{V. G. Kac} et al., Int. Math. Res. Not. 2015, No. 14, 5229--5288 (2015; Zbl 1418.17059) Full Text: DOI arXiv Link
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele Double Poisson vertex algebras and non-commutative Hamiltonian equations. (English) Zbl 1327.17023 Adv. Math. 281, 1025-1099 (2015). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 17B69 37K10 17B80 53D17 PDFBibTeX XMLCite \textit{A. De Sole} et al., Adv. Math. 281, 1025--1099 (2015; Zbl 1327.17023) Full Text: DOI arXiv
De Sole, Alberto; Kac, Victor G.; Turhan, Refik On integrability of some bi-Hamiltonian two field systems of partial differential equations. (English) Zbl 1321.37068 J. Math. Phys. 56, No. 5, 051503, 20 p. (2015). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 37K10 37K20 14H60 14H70 53D17 17B63 PDFBibTeX XMLCite \textit{A. De Sole} et al., J. Math. Phys. 56, No. 5, 051503, 20 p. (2015; Zbl 1321.37068) Full Text: DOI arXiv
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele Erratum to: “Classical \(\mathcal W\)-algebras and generalized Drinfeld-Sokolov hierarchies for minimal and short nilpotents”. (English) Zbl 1327.17022 Commun. Math. Phys. 333, No. 3, 1617-1619 (2015). MSC: 17B69 17B80 37K10 PDFBibTeX XMLCite \textit{A. De Sole} et al., Commun. Math. Phys. 333, No. 3, 1617--1619 (2015; Zbl 1327.17022) Full Text: DOI
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele Integrability of Dirac reduced bi-Hamiltonian equations. (English) Zbl 1326.35310 Ancona, Vincenzo (ed.) et al., Trends in contemporary mathematics. Selected talks based on the presentations at the INdAM day, June 18, 2014. Cham: Springer (ISBN 978-3-319-05253-3/hbk; 978-3-319-05254-0/ebook). Springer INdAM Series 8, 13-32 (2014). MSC: 35Q53 17B80 37K10 37K30 17B63 PDFBibTeX XMLCite \textit{A. De Sole} et al., Springer INdAM Ser. 8, 13--32 (2014; Zbl 1326.35310) Full Text: DOI arXiv
Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo Dirac operators and the very strange formula for Lie superalgebras. (English) Zbl 1344.17010 Gorelik, Maria (ed.) et al., Advances in Lie superalgebras. Proceedings of the conference ‘Lie superalgebras’, Rome, Italy, December 14–19, 2012. Cham: Springer (ISBN 978-3-319-02951-1/hbk; 978-3-319-02952-8/ebook). Springer INdAM Series 7, 121-147 (2014). Reviewer: Salah Mehdi (Metz) MSC: 17B22 17B20 17B69 17B70 PDFBibTeX XMLCite \textit{V. G. Kac} et al., Springer INdAM Ser. 7, 121--147 (2014; Zbl 1344.17010) Full Text: DOI arXiv
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele Classical \(\mathcal{W}\)-algebras and generalized Drinfeld-Sokolov hierarchies for minimal and short nilpotents. (English) Zbl 1327.17021 Commun. Math. Phys. 331, No. 2, 623-676 (2014). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B69 17B80 37K10 PDFBibTeX XMLCite \textit{A. De Sole} et al., Commun. Math. Phys. 331, No. 2, 623--676 (2014; Zbl 1327.17021) Full Text: DOI arXiv
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele Dirac reduction for Poisson vertex algebras. (English) Zbl 1368.17031 Commun. Math. Phys. 331, No. 3, 1155-1190 (2014). MSC: 17B80 37K10 17B69 81R05 81R10 PDFBibTeX XMLCite \textit{A. De Sole} et al., Commun. Math. Phys. 331, No. 3, 1155--1190 (2014; Zbl 1368.17031) Full Text: DOI arXiv
De Sole, Alberto; Kac, Victor G.; Turhan, Refik A new approach to the Lenard-Magri scheme of integrability. (English) Zbl 1305.37035 Commun. Math. Phys. 330, No. 1, 107-122 (2014). Reviewer: Mohamed Selmi (Sousse-Riadh) MSC: 37K10 37K30 17B63 17B70 17B80 PDFBibTeX XMLCite \textit{A. De Sole} et al., Commun. Math. Phys. 330, No. 1, 107--122 (2014; Zbl 1305.37035) Full Text: DOI arXiv
Kac, Victor G.; Wakimoto, Minoru Representations of affine superalgebras and mock theta functions. (English) Zbl 1372.17019 Transform. Groups 19, No. 2, 383-455 (2014). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 11F27 PDFBibTeX XMLCite \textit{V. G. Kac} and \textit{M. Wakimoto}, Transform. Groups 19, No. 2, 383--455 (2014; Zbl 1372.17019) Full Text: DOI arXiv
Cantarini, Nicoletta; Kac, Victor G. Algebraic vs physical \(N = 6\) 3-algebras. (English) Zbl 1288.81134 J. Math. Phys. 55, No. 1, 011704, 19 p. (2014). MSC: 81T75 81T60 58J28 17A40 17A42 17A70 PDFBibTeX XMLCite \textit{N. Cantarini} and \textit{V. G. Kac}, J. Math. Phys. 55, No. 1, 011704, 19 p. (2014; Zbl 1288.81134) Full Text: DOI arXiv
Kac, Victor G.; Raina, Ashok K.; Rozhkovskaya, Natasha Bombay lectures on highest weight representations of infinite dimensional Lie algebras. 2nd ed. (English) Zbl 1294.17021 Advanced Series in Mathematical Physics 29. Hackensack, NJ: World Scientific (ISBN 978-981-4522-18-2/hbk; 978-981-4522-19-9/pbk; 978-981-4522-21-2/ebook). xii, 237 p. (2013). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B68 17-02 17B69 17B67 17B65 17B80 37K40 81R10 81T40 PDFBibTeX XMLCite \textit{V. G. Kac} et al., Bombay lectures on highest weight representations of infinite dimensional Lie algebras. 2nd ed. Hackensack, NJ: World Scientific (2013; Zbl 1294.17021) Full Text: DOI
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele Classical \(\mathcal W\)-algebras and generalized Drinfeld-Sokolov bi-Hamiltonian systems within the theory of Poisson vertex algebras. (English) Zbl 1320.37031 Commun. Math. Phys. 323, No. 2, 663-711 (2013). MSC: 37K10 37K30 17B80 17B68 PDFBibTeX XMLCite \textit{A. De Sole} et al., Commun. Math. Phys. 323, No. 2, 663--711 (2013; Zbl 1320.37031) Full Text: DOI arXiv
De Sole, Alberto; Kac, Victor G. Non-local Poisson structures and applications to the theory of integrable systems. (English) Zbl 1286.37062 Jpn. J. Math. (3) 8, No. 2, 233-347 (2013). Reviewer: Mohamed Selmi (Sousse-Riadh) MSC: 37K10 35Q53 17B69 37K30 17B63 PDFBibTeX XMLCite \textit{A. De Sole} and \textit{V. G. Kac}, Jpn. J. Math. (3) 8, No. 2, 233--347 (2013; Zbl 1286.37062) Full Text: DOI arXiv
De Sole, Alberto; Kac, Victor G. The variational Poisson cohomology. (English) Zbl 1290.17027 Jpn. J. Math. (3) 8, No. 1, 1-145 (2013). Reviewer: Nenad Manojlović (Faro) MSC: 17B80 37K10 17B69 37K30 17B56 PDFBibTeX XMLCite \textit{A. De Sole} and \textit{V. G. Kac}, Jpn. J. Math. (3) 8, No. 1, 1--145 (2013; Zbl 1290.17027) Full Text: DOI arXiv
Elashvili, A. G.; Kac, V. G.; Vinberg, E. B. Cyclic elements in semisimple Lie algebras. (English) Zbl 1329.17007 Transform. Groups 18, No. 1, 97-130 (2013). Reviewer: Alfred G. Noël (Boston) MSC: 17B20 PDFBibTeX XMLCite \textit{A. G. Elashvili} et al., Transform. Groups 18, No. 1, 97--130 (2013; Zbl 1329.17007) Full Text: DOI arXiv
Boyallian, Carina; Kac, Victor G.; Liberati, José I. Classification of finite irreducible modules over the Lie conformal superalgebra \(CK_{6}\). (English) Zbl 1280.17010 Commun. Math. Phys. 317, No. 2, 503-546 (2013). MSC: 17B10 PDFBibTeX XMLCite \textit{C. Boyallian} et al., Commun. Math. Phys. 317, No. 2, 503--546 (2013; Zbl 1280.17010) Full Text: DOI arXiv
Bakalov, Bojko; D’Andrea, Alessandro; Kac, Victor G. Irreducible modules over finite simple Lie pseudoalgebras. II: Primitive pseudoalgebras of type \(K\). (English) Zbl 1287.17051 Adv. Math. 232, No. 1, 188-237 (2013). MSC: 17B99 17B10 16T05 17B35 PDFBibTeX XMLCite \textit{B. Bakalov} et al., Adv. Math. 232, No. 1, 188--237 (2013; Zbl 1287.17051) Full Text: DOI arXiv
Gorelik, Maria; Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo Denominator identities for finite-dimensional Lie superalgebras and Howe duality for compact dual pairs. (English) Zbl 1335.17004 Jpn. J. Math. (3) 7, No. 1, 41-134 (2012). MSC: 17B10 17B20 17B22 22E46 05E10 PDFBibTeX XMLCite \textit{M. Gorelik} et al., Jpn. J. Math. (3) 7, No. 1, 41--134 (2012; Zbl 1335.17004) Full Text: DOI arXiv
De Sole, Alberto; Kac, Victor G. Essential variational Poisson cohomology. (English) Zbl 1297.17012 Commun. Math. Phys. 313, No. 3, 837-864 (2012). MSC: 17B80 37K30 17B56 17B70 PDFBibTeX XMLCite \textit{A. De Sole} and \textit{V. G. Kac}, Commun. Math. Phys. 313, No. 3, 837--864 (2012; Zbl 1297.17012) Full Text: DOI arXiv
De Sole, Alberto; Kac, Victor G. Non-local Poisson structures and applications to the theory of integrable systems II. arXiv:1211.2391 Preprint, arXiv:1211.2391 [math-ph] (2012). MSC: 37K10 35Q53 17B80 17B69 37K30 17B63 BibTeX Cite \textit{A. De Sole} and \textit{V. G. Kac}, ``Non-local Poisson structures and applications to the theory of integrable systems II'', Preprint, arXiv:1211.2391 [math-ph] (2012) Full Text: arXiv OA License
De Sole, Alberto; Kac, Victor G. Non-local Hamiltonian structures and applications to the theory of integrable systems I. arXiv:1210.1688 Preprint, arXiv:1210.1688 [math-ph] (2012). MSC: 37K10 35Q53 17B80 17B69 37K30 17B63 BibTeX Cite \textit{A. De Sole} and \textit{V. G. Kac}, ``Non-local Hamiltonian structures and applications to the theory of integrable systems I'', Preprint, arXiv:1210.1688 [math-ph] (2012) Full Text: arXiv OA License
De Sole, Alberto; Hekmati, Pedram; Kac, Victor G. Calculus structure on the Lie conformal algebra complex and the variational complex. (English) Zbl 1317.18019 J. Math. Phys. 52, No. 5, 053510, 35 p. (2011). MSC: 18G35 55U15 49J27 17B55 PDFBibTeX XMLCite \textit{A. De Sole} et al., J. Math. Phys. 52, No. 5, 053510, 35 p. (2011; Zbl 1317.18019) Full Text: DOI arXiv Link
Cantarini, Nicoletta; Kac, Victor G. Classification of linearly compact simple algebraic \(N=6\) 3-algebras. (English) Zbl 1270.17002 Transform. Groups 16, No. 3, 649-671 (2011). Reviewer: Maria-Sanziana Pop (Baia Mare) MSC: 17A40 17A42 17A70 PDFBibTeX XMLCite \textit{N. Cantarini} and \textit{V. G. Kac}, Transform. Groups 16, No. 3, 649--671 (2011; Zbl 1270.17002) Full Text: DOI arXiv
Gorelik, Maria; Kac, Victor On complete reducibility for infinite-dimensional Lie algebras. (English) Zbl 1225.17026 Adv. Math. 226, No. 2, 1911-1972 (2011). Reviewer: Antun Milas (Albany) MSC: 17B67 PDFBibTeX XMLCite \textit{M. Gorelik} and \textit{V. Kac}, Adv. Math. 226, No. 2, 1911--1972 (2011; Zbl 1225.17026) Full Text: DOI arXiv
Kac, Victor; Möseneder Frajria, Pierluigi; Papi, Paolo Denominator formulas for Lie superalgebras (extended abstract). (English. French summary) Zbl 1373.17013 Proceedings of the 22nd annual international conference on formal power series and algebraic combinatorics, FPSAC 2010, San Francisco, USA, August 2–6, 2010. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 797-808 (2010). MSC: 17B10 PDFBibTeX XMLCite \textit{V. Kac} et al., in: Proceedings of the 22nd annual international conference on formal power series and algebraic combinatorics, FPSAC 2010, San Francisco, USA, August 2--6, 2010. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 797--808 (2010; Zbl 1373.17013) Full Text: Link
Boyallian, Carina; Kac, Victor G.; Liberati, José I. Irreducible modules over finite simple Lie conformal superalgebras of type \(K\). (English) Zbl 1311.17005 J. Math. Phys. 51, No. 6, 063507, 37 p. (2010). MSC: 17B20 17B15 17B81 81T40 PDFBibTeX XMLCite \textit{C. Boyallian} et al., J. Math. Phys. 51, No. 6, 063507, 37 p. (2010; Zbl 1311.17005) Full Text: DOI arXiv
De Sole, Alberto; Kac, Victor G.; Wakimoto, Minoru On classification of Poisson vertex algebras. (English) Zbl 1235.17020 Transform. Groups 15, No. 4, 883-907 (2010). Reviewer: Alexander Odesskii (Thorold) MSC: 17B69 37K05 PDFBibTeX XMLCite \textit{A. De Sole} et al., Transform. Groups 15, No. 4, 883--907 (2010; Zbl 1235.17020) Full Text: DOI arXiv Link
Cantarini, Nicoletta; Kac, Victor G. Classification of simple linearly compact \(n\)-Lie superalgebras. (English) Zbl 1232.17008 Commun. Math. Phys. 298, No. 3, 833-853 (2010). Reviewer: Maria-Sanziana Pop (Baia Mare) MSC: 17A42 PDFBibTeX XMLCite \textit{N. Cantarini} and \textit{V. G. Kac}, Commun. Math. Phys. 298, No. 3, 833--853 (2010; Zbl 1232.17008) Full Text: DOI arXiv
Cantarini, Nicoletta; Kac, Victor G. Classification of linearly compact simple rigid superalgebras. (English) Zbl 1269.17002 Int. Math. Res. Not. 2010, No. 17, 3341-3393 (2010). MSC: 17A70 17B63 17C70 PDFBibTeX XMLCite \textit{N. Cantarini} and \textit{V. G. Kac}, Int. Math. Res. Not. 2010, No. 17, 3341--3393 (2010; Zbl 1269.17002) Full Text: DOI arXiv Link
De Sole, Alberto; Kac, Victor G. Lie conformal algebra cohomology and the variational complex. (English) Zbl 1225.49009 Commun. Math. Phys. 292, No. 3, 667-719 (2009). MSC: 49J27 17B56 17B69 PDFBibTeX XMLCite \textit{A. De Sole} and \textit{V. G. Kac}, Commun. Math. Phys. 292, No. 3, 667--719 (2009; Zbl 1225.49009) Full Text: DOI arXiv
Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo Addendum to: On the kernel of the affine Dirac operator. (English) Zbl 1205.17024 Mosc. Math. J. 9, No. 4, 927-929 (2009). MSC: 17B67 17B10 PDFBibTeX XMLCite \textit{V. G. Kac} et al., Mosc. Math. J. 9, No. 4, 927--929 (2009; Zbl 1205.17024) Full Text: Link
Barakat, Aliaa; De Sole, Alberto; Kac, Victor G. Poisson vertex algebras in the theory of Hamiltonian equations. (English) Zbl 1244.17017 Jpn. J. Math. (3) 4, No. 2, 141-252 (2009). MSC: 17B80 37K10 17B69 37K30 PDFBibTeX XMLCite \textit{A. Barakat} et al., Jpn. J. Math. (3) 4, No. 2, 141--252 (2009; Zbl 1244.17017) Full Text: DOI arXiv
Elashvili, A. G.; Kac, V. G.; Vinberg, E. B. On exceptional nilpotents in semisimple Lie algebras. (English) Zbl 1252.17006 J. Lie Theory 19, No. 2, 371-390 (2009). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 17B20 17B08 PDFBibTeX XMLCite \textit{A. G. Elashvili} et al., J. Lie Theory 19, No. 2, 371--390 (2009; Zbl 1252.17006) Full Text: arXiv Link
Kac, Victor; Lau, Michael; Pianzola, Arturo Differential conformal superalgebras and their forms. (English) Zbl 1217.17018 Adv. Math. 222, No. 3, 809-861 (2009). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B69 17B65 12G05 17B81 PDFBibTeX XMLCite \textit{V. Kac} et al., Adv. Math. 222, No. 3, 809--861 (2009; Zbl 1217.17018) Full Text: DOI arXiv
Futorny, Vyacheslav (ed.); Kac, Victor (ed.); Kashuba, Iryna (ed.); Zelmanov, Efim (ed.) Algebras, representations and applications. Conference in honour of Ivan Shestakov’s 60th birthday, Maresias, Brazil, August 26–September 1, 2007. (English) Zbl 1160.17001 Contemporary Mathematics 483. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4652-0/pbk). x, 285 p. (2009). MSC: 17-06 22-06 18-06 00B25 PDFBibTeX XMLCite \textit{V. Futorny} (ed.) et al., Algebras, representations and applications. Conference in honour of Ivan Shestakov's 60th birthday, Maresias, Brazil, August 26--September 1, 2007. Providence, RI: American Mathematical Society (AMS) (2009; Zbl 1160.17001) Full Text: DOI
Heluani, Reimundo; Kac, Victor G. SUSY lattice vertex algebras. (English) Zbl 1202.81151 Bulg. J. Phys. 35, No. S1, 3-24 (2008). MSC: 81T13 17B69 PDFBibTeX XMLCite \textit{R. Heluani} and \textit{V. G. Kac}, Bulg. J. Phys. 35, No. S1, 3--24 (2008; Zbl 1202.81151) Full Text: arXiv Link
Kac, Victor G.; Wakimoto, Minoru On rationality of \(W\)-algebras. (English) Zbl 1221.17033 Transform. Groups 13, No. 3-4, 671-713 (2008). Reviewer: Dražen Adamović (Zagreb) MSC: 17B69 17B67 17B68 PDFBibTeX XMLCite \textit{V. G. Kac} and \textit{M. Wakimoto}, Transform. Groups 13, No. 3--4, 671--713 (2008; Zbl 1221.17033) Full Text: DOI arXiv
Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo On the kernel of the affine Dirac operator. (English) Zbl 1162.17024 Mosc. Math. J. 8, No. 4, 759-788 (2008); addendum ibid. 9, No. 4, 927-929 (2009). MSC: 17B67 17B10 PDFBibTeX XMLCite \textit{V. G. Kac} et al., Mosc. Math. J. 8, No. 4, 759--788 (2008; Zbl 1162.17024) Full Text: arXiv Link
Kac, Victor G.; Retakh, Alexander Simple Jordan conformal superalgebras. (English) Zbl 1236.17040 J. Algebra Appl. 7, No. 4, 517-533 (2008). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 17C70 PDFBibTeX XMLCite \textit{V. G. Kac} and \textit{A. Retakh}, J. Algebra Appl. 7, No. 4, 517--533 (2008; Zbl 1236.17040) Full Text: DOI arXiv
Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo Multiplets of representations, twisted Dirac operators and Vogan’s conjecture in affine setting. (English) Zbl 1177.17016 Adv. Math. 217, No. 6, 2485-2562 (2008); corrigendum ibid. 351, 1201-1209 (2019). Reviewer: Pavle Pandžić (Zagreb) MSC: 17B67 17B10 17B69 58J60 PDFBibTeX XMLCite \textit{V. G. Kac} et al., Adv. Math. 217, No. 6, 2485--2562 (2008; Zbl 1177.17016) Full Text: DOI arXiv
Gorelik, Maria; Kac, Victor Characters of highest weight modules over affine Lie algebras are meromorphic functions. (English) Zbl 1152.17011 Int. Math. Res. Not. 2007, No. 20, Article ID rnm079, 25 p. (2007). Reviewer: Juan Núñez Valdés (Sevilla) MSC: 17B67 17B10 PDFBibTeX XMLCite \textit{M. Gorelik} and \textit{V. Kac}, Int. Math. Res. Not. 2007, No. 20, Article ID rnm079, 25 p. (2007; Zbl 1152.17011) Full Text: DOI arXiv
Heluani, Reimundo; Kac, Victor G. Supersymmetric vertex algebras. (English) Zbl 1205.17029 Commun. Math. Phys. 271, No. 1, 103-178 (2007). MSC: 17B69 14F40 53C26 81T60 PDFBibTeX XMLCite \textit{R. Heluani} and \textit{V. G. Kac}, Commun. Math. Phys. 271, No. 1, 103--178 (2007; Zbl 1205.17029) Full Text: DOI arXiv Link
Cantarini, Nicoletta; Kac, Victor G. Classification of linearly compact simple Jordan and generalized Poisson superalgebras. (English) Zbl 1173.17023 J. Algebra 313, No. 1, 100-124 (2007). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 17C70 17C50 PDFBibTeX XMLCite \textit{N. Cantarini} and \textit{V. G. Kac}, J. Algebra 313, No. 1, 100--124 (2007; Zbl 1173.17023) Full Text: DOI arXiv