Meng, Guowu Magnetized Kepler manifolds and their quantization. (English) Zbl 1455.81048 J. Geom. Phys. 159, Article ID 103891, 12 p. (2021). MSC: 81V45 81V10 81S10 53D50 17B10 81S30 17B08 14D21 PDF BibTeX XML Cite \textit{G. Meng}, J. Geom. Phys. 159, Article ID 103891, 12 p. (2021; Zbl 1455.81048) Full Text: DOI
Zeng, Ziting; Zhou, Yingmei Fock representation of the type \({\mathrm{D}}_l\) Lie algebras. (Chinese. English summary) Zbl 1449.17023 J. Beijing Norm. Univ., Nat. Sci. 55, No. 4, 429-436 (2019). MSC: 17B10 17B20 17B67 PDF BibTeX XML Cite \textit{Z. Zeng} and \textit{Y. Zhou}, J. Beijing Norm. Univ., Nat. Sci. 55, No. 4, 429--436 (2019; Zbl 1449.17023) Full Text: DOI
Li, Zhiqiang; Tan, Shaobin; Wang, Qing Harish-Chandra modules for divergence zero vector fields on a torus. (English) Zbl 07178873 Pac. J. Math. 301, No. 1, 243-265 (2019). MSC: 17B10 17B66 17B65 17B68 PDF BibTeX XML Cite \textit{Z. Li} et al., Pac. J. Math. 301, No. 1, 243--265 (2019; Zbl 07178873) Full Text: DOI
Dent, Adam; Tange, Rudolf Bases for spaces of highest weight vectors in arbitrary characteristic. (English) Zbl 07144049 Algebr. Represent. Theory 22, No. 5, 1133-1147 (2019). MSC: 20G05 13A50 16W22 PDF BibTeX XML Cite \textit{A. Dent} and \textit{R. Tange}, Algebr. Represent. Theory 22, No. 5, 1133--1147 (2019; Zbl 07144049) Full Text: DOI arXiv
Cai, Yan-an; Zhang, Xiufu Simple singular Whittaker modules over the Schrödinger algebra. (English) Zbl 07143952 Commun. Math. Stat. 7, No. 4, 475-483 (2019). MSC: 17B10 17B20 17B66 17B70 PDF BibTeX XML Cite \textit{Y.-a. Cai} and \textit{X. Zhang}, Commun. Math. Stat. 7, No. 4, 475--483 (2019; Zbl 07143952) Full Text: DOI
Kim, Donggyun; Kim, Sangjib; Park, Euisung On the structures of hive algebras and tensor product algebras for general linear groups of low rank. (English) Zbl 07127350 Int. J. Algebra Comput. 29, No. 7, 1193-1218 (2019). MSC: 20G05 13A50 05E15 PDF BibTeX XML Cite \textit{D. Kim} et al., Int. J. Algebra Comput. 29, No. 7, 1193--1218 (2019; Zbl 07127350) Full Text: DOI arXiv
Xu, Xiaoping Representations of Lie algebras and partial differential equations. (English) Zbl 1391.17001 Singapore: Springer (ISBN 978-981-10-6390-9/hbk; 978-981-10-6391-6/ebook). xxxvi, 620 p. (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17-02 17B10 17B22 17B20 PDF BibTeX XML Cite \textit{X. Xu}, Representations of Lie algebras and partial differential equations. Singapore: Springer (2017; Zbl 1391.17001) Full Text: DOI
Dobrev, Vladimir K. Invariant differential operators. Volume 2: Quantum groups. (English) Zbl 1375.17002 De Gruyter Studies in Mathematical Physics 39. Berlin: De Gruyter (ISBN 978-3-11-043543-6/hbk; 978-3-11-042770-7/ebook). xi, 393 p. (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17-02 17B37 20G42 17B68 PDF BibTeX XML Cite \textit{V. K. Dobrev}, Invariant differential operators. Volume 2: Quantum groups. Berlin: De Gruyter (2017; Zbl 1375.17002) Full Text: DOI
Billig, Yuly; Futorny, Vyacheslav Classification of irreducible representations of Lie algebra of vector fields on a torus. (English) Zbl 1379.17011 J. Reine Angew. Math. 720, 199-216 (2016). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B66 17B10 PDF BibTeX XML Cite \textit{Y. Billig} and \textit{V. Futorny}, J. Reine Angew. Math. 720, 199--216 (2016; Zbl 1379.17011) Full Text: DOI
Dobrev, Vladimir K. Invariant differential operators. Volume 1: Noncompact semisimple Lie algebras and groups. (English) Zbl 1348.22001 De Gruyter Studies in Mathematical Physics 35. Berlin: De Gruyter (ISBN 978-3-11-043542-9/hbk; 978-3-11-042764-6/ebook). xii, 408 p. (2016). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22-01 17-01 22Exx 17Bxx PDF BibTeX XML Cite \textit{V. K. Dobrev}, Invariant differential operators. Volume 1: Noncompact semisimple Lie algebras and groups. Berlin: De Gruyter (2016; Zbl 1348.22001) Full Text: DOI
Catoiu, Stefan Ideals of the enveloping algebra \(U(sl_3)\). (English) Zbl 1401.17012 Dougherty, Steven (ed.) et al., Noncommutative rings and their applications. International conference on noncommutative rings and their applications, Université d’Artois, Lens, France, July 1–4, 2013. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1032-2/pbk; 978-1-4704-2264-6/ebook). Contemporary Mathematics 634, 53-66 (2015). MSC: 17B35 16S30 16D25 PDF BibTeX XML Cite \textit{S. Catoiu}, Contemp. Math. 634, 53--66 (2015; Zbl 1401.17012)
Manivel, Laurent; Michałek, Mateusz Effective constructions in plethysms and Weintraub’s conjecture. (English) Zbl 1292.05264 Algebr. Represent. Theory 17, No. 2, 433-443 (2014). MSC: 05E10 05E05 20C30 22E46 PDF BibTeX XML Cite \textit{L. Manivel} and \textit{M. Michałek}, Algebr. Represent. Theory 17, No. 2, 433--443 (2014; Zbl 1292.05264) Full Text: DOI arXiv
Vavilov, N. A. \(A_3\)-proof of structure theorems for Chevalley groups of types \(E_6\) and \(E_7\). II: Main lemma. (English. Russian original) Zbl 1278.20065 St. Petersbg. Math. J. 23, No. 6, 921-942 (2012); translation from Algebra Anal. 23, No. 6, 1-31 (2011). MSC: 20G35 20E07 20E15 20G41 PDF BibTeX XML Cite \textit{N. A. Vavilov}, St. Petersbg. Math. J. 23, No. 6, 921--942 (2012; Zbl 1278.20065); translation from Algebra Anal. 23, No. 6, 1--31 (2011) Full Text: DOI
Serganova, Vera V.; Skorobogatov, Alexei N. Adjoint representation of \(E_{8}\) and del Pezzo surfaces of degree 1. (English. French summary) Zbl 1257.14025 Ann. Inst. Fourier 61, No. 6, 2337-2360 (2011). Reviewer: Vladimir L. Popov (Moskva) MSC: 14J26 14M17 22E46 PDF BibTeX XML Cite \textit{V. V. Serganova} and \textit{A. N. Skorobogatov}, Ann. Inst. Fourier 61, No. 6, 2337--2360 (2011; Zbl 1257.14025) Full Text: DOI EuDML arXiv
Tang, Xin Construct irreducible representations of quantum groups \(U_q (f_m (K))\). (English) Zbl 1183.17007 Front. Math. China 3, No. 3, 371-397 (2008). Reviewer: Jörg Feldvoss (Mobile) MSC: 17B37 17B35 17B10 16T05 16T20 16D60 16D25 PDF BibTeX XML Cite \textit{X. Tang}, Front. Math. China 3, No. 3, 371--397 (2008; Zbl 1183.17007) Full Text: DOI
Vavilov, Nikolai An \(A_3\)-proof of structure theorems for Chevalley groups of types \(E_6\) and \(E_7\). (English) Zbl 1172.20034 Int. J. Algebra Comput. 17, No. 5-6, 1283-1298 (2007). MSC: 20G15 20E07 PDF BibTeX XML Cite \textit{N. Vavilov}, Int. J. Algebra Comput. 17, No. 5--6, 1283--1298 (2007; Zbl 1172.20034) Full Text: DOI
Serganova, Vera On representations of Cartan type Lie superalgebras. (English) Zbl 1106.17006 Vinberg, Ernest (ed.), Lie groups and invariant theory. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3733-8/hbk). Translations. Series 2. American Mathematical Society 213. Advances in the Mathematical Sciences 56, 223-239 (2005). Reviewer: Pasha Zusmanovich (Reykjavik) MSC: 17B10 17B66 17B35 17B40 PDF BibTeX XML Cite \textit{V. Serganova}, Transl., Ser. 2, Am. Math. Soc. 213, 223--239 (2005; Zbl 1106.17006)
Su, Yucai Classification of quasifinite modules over Lie algebras of matrix differential operators on the circle. (English) Zbl 1097.17008 Proc. Am. Math. Soc. 133, No. 7, 1949-1957 (2005). Reviewer: Pasha Zusmanovich (Ramat Gan) MSC: 17B10 17B66 PDF BibTeX XML Cite \textit{Y. Su}, Proc. Am. Math. Soc. 133, No. 7, 1949--1957 (2005; Zbl 1097.17008) Full Text: DOI arXiv
Sheinman, Oleg K. Affine Krichever-Novikov algebras, their representations and applications. (English) Zbl 1081.17014 Buchstaber, V. M. (ed.) et al., Geometry, topology, and mathematical physics. Selected papers from S. P. Novikov’s seminar held in Moscow, Russia, 2002–2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3613-7/hbk). Translations. Series 2. American Mathematical Society. 212. Advances in the Mathematical Sciences 55, 297-316 (2004). Reviewer: Martin Schlichenmaier (Luxembourg) MSC: 17B65 17B67 17B68 22E67 14H60 81R10 81T40 35Q15 14H55 PDF BibTeX XML Cite \textit{O. K. Sheinman}, in: Geometry, topology, and mathematical physics. Selected papers from S. P. Novikov's seminar held in Moscow, Russia, 2002--2003. Providence, RI: American Mathematical Society (AMS). 297--316 (2004; Zbl 1081.17014)
Franco, Davide An infinitesimal Torelli for conformal vacua. (English) Zbl 1081.17016 Commun. Algebra 31, No. 8, 3795-3810 (2003). Reviewer: Bernd Kreußler (Limerick) MSC: 17B69 14H60 14H70 81T40 PDF BibTeX XML Cite \textit{D. Franco}, Commun. Algebra 31, No. 8, 3795--3810 (2003; Zbl 1081.17016) Full Text: DOI
Kraft, Hanspeter; Wallach, Nolan R. On the separation property of orbits in representation spaces. (English) Zbl 1055.20038 J. Algebra 258, No. 1, 228-254 (2002). Reviewer: Nikolai I. Osetinski (Moskva) MSC: 20G05 17B45 PDF BibTeX XML Cite \textit{H. Kraft} and \textit{N. R. Wallach}, J. Algebra 258, No. 1, 228--254 (2002; Zbl 1055.20038) Full Text: DOI
Feigin, Boris L.; Jimbo, Michio; Miwa, Tetsuji Vertex operator algebra arising from the minimal series \(M(3,p)\) and monomial basis. (English) Zbl 1028.81025 Kashiwara, Masaki (ed.) et al., MathPhys odyssey 2001. Integrable models and beyond. In honor of Barry M. McCoy, dedicated to his 60th birthday. Boston: Birkhäuser. Prog. Math. Phys. 23, 179-204 (2002). Reviewer: Rutwig Campoamor-Stursberg (Mulhouse) MSC: 81R10 81T15 81R12 81T40 PDF BibTeX XML Cite \textit{B. L. Feigin} et al., Prog. Math. Phys. 23, 179--204 (2002; Zbl 1028.81025)
Boyallian, Carina; Liberati, Jose I. On modules over matrix quantum pseudo-differential operators. (English) Zbl 1009.17017 Lett. Math. Phys. 60, No. 1, 73-85 (2002). Reviewer: Pasha Zusmanovich (Amsterdam) MSC: 17B66 17B10 81R10 PDF BibTeX XML Cite \textit{C. Boyallian} and \textit{J. I. Liberati}, Lett. Math. Phys. 60, No. 1, 73--85 (2002; Zbl 1009.17017) Full Text: DOI
Braverman, Alexander; Gaitsgory, Dennis Crystals via the affine Grassmannian. (English) Zbl 1015.20030 Duke Math. J. 107, No. 3, 561-575 (2001). Reviewer: Chen Chengdong (Shanghai) MSC: 20G05 14H60 14F05 17B37 PDF BibTeX XML Cite \textit{A. Braverman} and \textit{D. Gaitsgory}, Duke Math. J. 107, No. 3, 561--575 (2001; Zbl 1015.20030) Full Text: DOI arXiv
Sheinman, O. K. The fermion model of representations of affine Krichever-Novikov algebras. (English. Russian original) Zbl 1013.17020 Funct. Anal. Appl. 35, No. 3, 209-219 (2001); translation from Funkts. Anal. Prilozh. 35, No. 3, 60-72 (2001). Reviewer: Martin Schlichenmaier (Mannheim) MSC: 17B67 81R10 17B68 14H60 22E67 PDF BibTeX XML Cite \textit{O. K. Sheinman}, Funct. Anal. Appl. 35, No. 3, 209--219 (2001; Zbl 1013.17020); translation from Funkts. Anal. Prilozh. 35, No. 3, 60--72 (2001) Full Text: DOI arXiv
Liu, Xufeng A new aspect of representations of \(U_q(s\hat l_2)\) – root of unity case. (English) Zbl 1026.17020 J. Algebra 243, No. 1, 1-15 (2001). Reviewer: Chen Hui-Xiang (Yangzhou) MSC: 17B37 PDF BibTeX XML Cite \textit{X. Liu}, J. Algebra 243, No. 1, 1--15 (2001; Zbl 1026.17020) Full Text: DOI arXiv
Krötz, Bernhard Formal dimension for semisimple symmetric spaces. (English) Zbl 0968.22012 Compos. Math. 125, No. 2, 155-191 (2001). Reviewer: Karl -Hermann Neeb (Darmstadt) MSC: 22E46 43A90 43A85 PDF BibTeX XML Cite \textit{B. Krötz}, Compos. Math. 125, No. 2, 155--191 (2001; Zbl 0968.22012) Full Text: DOI
Rowe, D. J.; Bahri, C. Clebsch-Gordan coefficients of SU(3) in SU(2) and SO(3) bases. (English) Zbl 0978.81040 J. Math. Phys. 41, No. 9, 6544-6565 (2000). MSC: 81R05 17B10 81R30 81-08 PDF BibTeX XML Cite \textit{D. J. Rowe} and \textit{C. Bahri}, J. Math. Phys. 41, No. 9, 6544--6565 (2000; Zbl 0978.81040) Full Text: DOI
Catoiu, Stefan Prime ideals of the enveloping algebra \(U(sl_3)\). (English) Zbl 0959.17009 Commun. Algebra 28, No. 2, 981-1027 (2000). Reviewer: Victor Petrogradsky (Ulyanovsk) MSC: 17B35 16S30 PDF BibTeX XML Cite \textit{S. Catoiu}, Commun. Algebra 28, No. 2, 981--1027 (2000; Zbl 0959.17009) Full Text: DOI
Kamita, Atsushi; Morita, Yoshiyuki; Tanisaki, Toshiyuki Quantum deformations of certain prehomogeneous vector spaces. I. (English) Zbl 0971.17009 Hiroshima Math. J. 28, No. 3, 527-540 (1998). Reviewer: Guy Roos (Anneville sur Scie) MSC: 17B37 11S90 22E47 17B10 PDF BibTeX XML Cite \textit{A. Kamita} et al., Hiroshima Math. J. 28, No. 3, 527--540 (1998; Zbl 0971.17009)
Neeb, Karl-Hermann Operator-valued positive definite kernels on tubes. (English) Zbl 0956.22003 Monatsh. Math. 126, No. 2, 125-160 (1998). Reviewer: Alessandra Iozzi (College Park) MSC: 22D10 28B05 32A07 PDF BibTeX XML Cite \textit{K.-H. Neeb}, Monatsh. Math. 126, No. 2, 125--160 (1998; Zbl 0956.22003) Full Text: DOI EuDML
Awata, Hidetoshi; Kubo, Harunobu; Odake, Satoru; Shiraishi, Jun’ichi Virasoro-type symmetries in solvable models. (English) Zbl 0953.17013 RIMS Kokyuroku 1005, 37-71 (1997). Reviewer: Volodymyr Mazorchuk (Kyïv) MSC: 17B68 17-02 82B23 81R10 37K05 81R50 PDF BibTeX XML Cite \textit{H. Awata} et al., RIMS Kokyuroku 1005, 37--71 (1997; Zbl 0953.17013)
Zhang, R. B. Vector coherent state realization of representations of the affine Lie algebra \(\widehat{sl}(2)\). (English) Zbl 0943.81013 J. Phys. A, Math. Gen. 30, No. 18, 6545-6551 (1997). MSC: 81R10 81R30 PDF BibTeX XML Cite \textit{R. B. Zhang}, J. Phys. A, Math. Gen. 30, No. 18, 6545--6551 (1997; Zbl 0943.81013) Full Text: DOI arXiv
Dimitrov, Ivan; Penkov, Ivan Partially and fully integrable modules over Lie superalgebras. (English) Zbl 1013.17501 Chari, Vyjayanthi (ed.) et al., Modular interfaces. Modular Lie algebras, quantum groups, and Lie superalgebras. A conference in honor of Richard E. Block on the occasion of his retirement, Riverside, CA, USA, February 18-20, 1995. Providence, RI: American Mathematical Society. AMS/IP Stud. Adv. Math. 4, 49-67 (1997). Reviewer: O.Ninnemann (Berlin) MSC: 17B10 17B66 PDF BibTeX XML Cite \textit{I. Dimitrov} and \textit{I. Penkov}, AMS/IP Stud. Adv. Math. 4, 49--67 (1997; Zbl 1013.17501)
Suzuki, Takeshi Differential equations associated to the \(SU(2)\) WZNW model on elliptic curves. (English) Zbl 0876.17024 Publ. Res. Inst. Math. Sci. 32, No. 2, 207-233 (1996). Reviewer: M.Schlichenmaier (Mannheim) MSC: 17B67 81T40 17B69 17B66 14H10 14H52 PDF BibTeX XML Cite \textit{T. Suzuki}, Publ. Res. Inst. Math. Sci. 32, No. 2, 207--233 (1996; Zbl 0876.17024) Full Text: DOI
Clerc, Jean-Louis Laplace transform and unitary highest weight modules. (English) Zbl 0873.22007 J. Lie Theory 5, No. 2, 225-240 (1995). Reviewer: K.-H.Neeb (Erlangen) MSC: 22E46 43A35 PDF BibTeX XML Cite \textit{J.-L. Clerc}, J. Lie Theory 5, No. 2, 225--240 (1995; Zbl 0873.22007) Full Text: EuDML
Ding, Jintai; Etingof, Pavel The center of a quantum affine algebra at the critical level. (English) Zbl 0833.17008 Math. Res. Lett. 1, No. 4, 469-480 (1994). MSC: 17B37 17B67 PDF BibTeX XML Cite \textit{J. Ding} and \textit{P. Etingof}, Math. Res. Lett. 1, No. 4, 469--480 (1994; Zbl 0833.17008) Full Text: DOI arXiv
Eguchi, Masaaki; Koizumi, Shin The explicit formula for the Harish-Chandra \(C\)-function of \(SU(n,1)\) for arbitrary irreducible representations of \(K\) which contain one dimensional \(M\)-types. (English) Zbl 0838.43008 Proc. Japan Acad., Ser. A 70, No. 7, 256-259 (1994). MSC: 43A65 22E45 43A85 PDF BibTeX XML Cite \textit{M. Eguchi} and \textit{S. Koizumi}, Proc. Japan Acad., Ser. A 70, No. 7, 256--259 (1994; Zbl 0838.43008) Full Text: DOI
Onishchik, A. L. Irreducible components of the exterior algebra over the space of matrices. (Russian) Zbl 0826.20042 Onishchik, A. L. (ed.), Questions of group theory and homological algebra. Collection of scientific works. Yaroslavl’: Yaroslavskij Gosudarstvennyj Universitet. 136-139 (1992). MSC: 20G05 15A72 17B10 20G20 PDF BibTeX XML Cite \textit{A. L. Onishchik}, in: Voprosy teorii grupp i gomologicheskoj algebry. Sbornik nauchnykh trudov. Yaroslavl': Yaroslavskij Gosudarstvennyj Universitet. 136--139 (1992; Zbl 0826.20042)
Wang, Xiaodong Constructions of level one standard modules for \(C^{(1)}_ n\). (English) Zbl 0864.17036 Chin. Sci. Bull. 37, No. 16, 1406-1407 (1992). MSC: 17B67 17B10 PDF BibTeX XML Cite \textit{X. Wang}, Chin. Sci. Bull. 37, No. 16, 1406--1407 (1992; Zbl 0864.17036)
Suga, Shuichi Highest weight modules associated with classical irreducible regular prehomogeneous vector spaces of commutative parabolic type. (English) Zbl 0758.17005 Osaka J. Math. 28, No. 2, 323-346 (1991). Reviewer: M.Muro (Yanagido) MSC: 17B10 14M17 PDF BibTeX XML Cite \textit{S. Suga}, Osaka J. Math. 28, No. 2, 323--346 (1991; Zbl 0758.17005)
Davidson, Mark G.; Enright, Thomas J.; Stanke, Ronald J. Differential operators and highest weight representations. (English) Zbl 0759.22015 Mem. Am. Math. Soc. 455, 102 p. (1991). Reviewer: T.Kawazoe (Yokohama) MSC: 22E45 32M15 22E47 PDF BibTeX XML Cite \textit{M. G. Davidson} et al., Differential operators and highest weight representations. Providence, RI: American Mathematical Society (AMS) (1991; Zbl 0759.22015) Full Text: DOI
Mantini, Lisa A. An \(L^ 2\)-cohomology construction of unitary highest weight modules for \(U(p,q)\). (English) Zbl 0747.22009 Trans. Am. Math. Soc. 323, No. 2, 583-603 (1991). Reviewer: M.G.Eastwood (Adelaide) MSC: 22E45 57T10 PDF BibTeX XML Cite \textit{L. A. Mantini}, Trans. Am. Math. Soc. 323, No. 2, 583--603 (1991; Zbl 0747.22009) Full Text: DOI
Fujii, Kazuyuki; Tanaka, Masaru Universal Schwinger cocycles of current algebras in \((D+1)\)-dimensions: Geometry and physics. (English) Zbl 0716.58033 Commun. Math. Phys. 129, No. 2, 267-280 (1990). Reviewer: T.Ratiu MSC: 58Z05 81T13 58A25 81R10 22E70 PDF BibTeX XML Cite \textit{K. Fujii} and \textit{M. Tanaka}, Commun. Math. Phys. 129, No. 2, 267--280 (1990; Zbl 0716.58033) Full Text: DOI
Hecht, K. T. A new vector coherent-state construction of SU(3)\(\supset SO(3)\) Wigner coefficients. (English) Zbl 0711.22011 J. Phys. A, Math. Gen. 23, No. 4, 407-425 (1990). Reviewer: G.Roepstorff MSC: 22E70 81R30 PDF BibTeX XML Cite \textit{K. T. Hecht}, J. Phys. A, Math. Gen. 23, No. 4, 407--425 (1990; Zbl 0711.22011) Full Text: DOI
Kochetkov, Yu. Yu. Singular vectors of height 2. (Russian) Zbl 0745.17016 Vopr. Teor. Grupp Gomologicheskoj Algebry 10, 128-132 (1990). Reviewer: G.Czichowski (Greifswald) MSC: 17B70 17B10 17B66 PDF BibTeX XML
Herz, Carl Representations of Lie groups by contact transformations. I: Compact groups. (English) Zbl 0743.57024 Can. Math. Bull. 33, No. 4, 369-375 (1990). Reviewer: V.Oproiu (Iaşi) MSC: 57S25 22E46 53C15 57S15 57R15 PDF BibTeX XML Cite \textit{C. Herz}, Can. Math. Bull. 33, No. 4, 369--375 (1990; Zbl 0743.57024) Full Text: DOI
Arnal, D.; Cahen, M.; Gutt, S. * exponential and holomorphic discrete series. (English) Zbl 0697.22010 Bull. Soc. Math. Belg., Sér. B 41, No. 2, 207-227 (1989). Reviewer: T.Kawazoe MSC: 22E30 22E46 43A30 PDF BibTeX XML Cite \textit{D. Arnal} et al., Bull. Soc. Math. Belg., Sér. B 41, No. 2, 207--227 (1989; Zbl 0697.22010)
Ku, Jong-Min Structure of the Verma module \(M(-\rho)\) over Euclidean Lie algebras. (English) Zbl 0693.17013 J. Algebra 124, No. 2, 367-387 (1989). Reviewer: Eiichi Abe (Ibaraki) MSC: 17B67 17B10 PDF BibTeX XML Cite \textit{J.-M. Ku}, J. Algebra 124, No. 2, 367--387 (1989; Zbl 0693.17013) Full Text: DOI
Deckhart, Robert W. \(A_ n\) modular maximal vectors. I: Bases, rank 2 families, and an introduction to products. (English) Zbl 0692.17001 Commun. Algebra 17, No. 7, 1565-1588 (1989). Reviewer: J.Hilgert MSC: 17B10 PDF BibTeX XML Cite \textit{R. W. Deckhart}, Commun. Algebra 17, No. 7, 1565--1588 (1989; Zbl 0692.17001) Full Text: DOI
Deckhart, Robert W. Modular maximal vectors and the Kostant cone. (English) Zbl 0677.17007 J. Algebra 123, No. 1, 171-184 (1989). Reviewer: J.Hilgert MSC: 17B20 17B10 PDF BibTeX XML Cite \textit{R. W. Deckhart}, J. Algebra 123, No. 1, 171--184 (1989; Zbl 0677.17007) Full Text: DOI
Levstein, Fernando Invariant polynomials for a maximal unipotent subgroup of \(\text{SL}(n,\mathbb{C})\). (English) Zbl 0815.20030 Rev. Unión Mat. Argent. 35(1990), 163-167 (1989). MSC: 20G05 20G20 14L30 15A72 PDF BibTeX XML Cite \textit{F. Levstein}, Rev. Unión Mat. Argent. 35, 163--167 (1989; Zbl 0815.20030)
Bien, Frederic Global representations of the diffeomorphism group of the circle. (English) Zbl 0744.17025 Infinite dimensional Lie algebras and groups, Proc. Conf., Marseille/Fr. 1988, Adv. Ser. Math. Phys. 7, 89-107 (1989). MSC: 17B66 17B68 58B25 22E65 PDF BibTeX XML Cite \textit{F. Bien}, Adv. Ser. Math. Phys. 7, 89--107 (1989; Zbl 0744.17025)
Feigin, B. L.; Fuks, D. B. Cohomology of some nilpotent subalgebras of the Virasoro and Kac-Moody Lie algebras. (English) Zbl 0692.17008 J. Geom. Phys. 5, No. 2, 209-235 (1988). Reviewer: Alice Fialowski (Budapest) MSC: 17B56 17B66 17B68 17B67 17B10 81T40 PDF BibTeX XML Cite \textit{B. L. Feigin} and \textit{D. B. Fuks}, J. Geom. Phys. 5, No. 2, 209--235 (1988; Zbl 0692.17008) Full Text: DOI
Kato, Mitsuhiro; Matsuda, Satoshi Null field construction in conformal and superconformal algebras. (English) Zbl 0657.17012 Conformal field theory and solvable lattice models, Symp., Kyoto/Jap. 1986, Adv. Stud. Pure Math. 16, 205-254 (1988). Reviewer: A.N.Pressley MSC: 17B65 81T40 17B70 17B10 PDF BibTeX XML
Feigin, B. L.; Fuks, D. B.; Retakh, V. S. Massey operations in the cohomology of the infinite dimensional Lie algebra \(L_1\). (English) Zbl 0653.17010 Topology and geometry, Rohlin Semin. 1984-1986, Lect. Notes Math. 1346, 13-31 (1988). Reviewer: Alice Fialowski (Budapest) MSC: 17B56 17B66 17B68 55S30 17B10 PDF BibTeX XML
Donkin, S. On conjugating representations and adjoint representations of semisimple groups. (English) Zbl 0639.20021 Invent. Math. 91, No. 1, 137-145 (1988). Reviewer: H.H.Andersen MSC: 20G05 14L30 15A72 PDF BibTeX XML Cite \textit{S. Donkin}, Invent. Math. 91, No. 1, 137--145 (1988; Zbl 0639.20021) Full Text: DOI EuDML
Tokuyama, Takeshi Highest weight vectors associated with some branchings. (English) Zbl 0654.20043 Representations of finite groups, Proc. Conf., Arcata/Calif. 1986, Pt. 2, Proc. Symp. Pure Math. 47, 541-545 (1987). MSC: 20G05 20G20 15A72 17B20 PDF BibTeX XML
Malikov, F. G.; Feigin, B. L.; Fuks, D. B. Singular vectors in Verma modules over Kac-Moody algebras. (English. Russian original) Zbl 0616.17010 Funct. Anal. Appl. 20, No. 2, 103-113 (1986); translation from Funkts. Anal. Prilozh. 20, No. 2, 25-37 (1986). Reviewer: F. G. Malikov MSC: 17B67 17B10 22E47 PDF BibTeX XML Cite \textit{F. G. Malikov} et al., Funct. Anal. Appl. 20, 103--113 (1986; Zbl 0616.17010); translation from Funkts. Anal. Prilozh. 20, No. 2, 25--37 (1986) Full Text: DOI
Goodman, Roe; Wallach, Nolan R. Projective unitary positive-energy representations of \(Diff(S^ 1)\). (English) Zbl 0636.22013 J. Funct. Anal. 63, 299-321 (1985). Reviewer: J.Vanzura MSC: 22E65 17B65 58D05 58B25 58H05 PDF BibTeX XML Cite \textit{R. Goodman} and \textit{N. R. Wallach}, J. Funct. Anal. 63, 299--321 (1985; Zbl 0636.22013) Full Text: DOI
Yamada, Hirofumi The Virasoro algebra and the KP hierarchy. (English) Zbl 0587.17008 Infinite dimensional groups with applications, Publ., Math. Sci. Res. Inst. 4, 371-380 (1985). Reviewer: L.Vaserstein MSC: 17B65 17B10 35Q99 PDF BibTeX XML
Wallach, Nolan R. Classical invariant theory and the Virasoro algebra. (English) Zbl 0557.17006 Vertex operators in mathematics and physics, Proc. Conf., Berkeley/CA 1983, Publ., Math. Sci. Res. Inst. 3, 475-482 (1985). Reviewer: L.N.Vaserstein MSC: 17B65 17B10 PDF BibTeX XML
Rocha-Caridi, Alvany; Wallach, Nolan R. Characters of irreducible representations of the Virasoro algebra. (English) Zbl 0503.17008 Math. Z. 185, 1-21 (1984). MSC: 17B65 17B10 PDF BibTeX XML Cite \textit{A. Rocha-Caridi} and \textit{N. R. Wallach}, Math. Z. 185, 1--21 (1984; Zbl 0503.17008) Full Text: DOI EuDML
Kochetkov, Yu. Yu. Induced irreducible representations of Leĭtes superalgebras. (Russian) Zbl 0578.17004 Vopr. Teor. Grupp Gomologicheskoĭ Algebry 1983, 120-123 (1983). Reviewer: Andrei Verona MSC: 17A70 17B10 17B70 58A99 PDF BibTeX XML
Date, Etsuro; Miwa, Tetsuji; Jimbo, Michio Soliton and infinite dimensional Lie algebras. I-III. (Japanese) Zbl 0575.35078 Representation theory and its neighbours, Proc. Conf., Tsukuba Univ., Shimoda Marine Res. Cent. 1982, 107-162 (1983). Reviewer: E.Abe MSC: 35Q99 17B65 34M99 81Q05 PDF BibTeX XML
Rocha-Caridi, Alvany; Wallach, Nolan R. Characters of irreducible representations of the Lie algebra of vector fields on the circle. (English) Zbl 0498.17010 Invent. Math. 72, 57-75 (1983). MSC: 17B55 17B65 17B10 PDF BibTeX XML Cite \textit{A. Rocha-Caridi} and \textit{N. R. Wallach}, Invent. Math. 72, 57--75 (1983; Zbl 0498.17010) Full Text: DOI EuDML
Tatsuuma, Nobuhiko A cyclic vector in the tensor product of irreducible representations of compact groups. (English) Zbl 0507.22005 Proc. Japan Acad., Ser. A 58, 141-142 (1982). MSC: 22C05 43A65 22E45 22E30 PDF BibTeX XML Cite \textit{N. Tatsuuma}, Proc. Japan Acad., Ser. A 58, 141--142 (1982; Zbl 0507.22005) Full Text: DOI
Lichtenstein, Woody A system of quadrics describing the orbit of the highest weight vector. (English) Zbl 0501.22017 Proc. Am. Math. Soc. 84, 605-608 (1982). MSC: 22E46 51N15 PDF BibTeX XML Cite \textit{W. Lichtenstein}, Proc. Am. Math. Soc. 84, 605--608 (1982; Zbl 0501.22017) Full Text: DOI
Gregory, Thomas B. A characterization of the contact Lie algebras. (English) Zbl 0467.17009 Proc. Am. Math. Soc. 82, 505-511 (1981). MSC: 17B50 17B20 17B10 PDF BibTeX XML Cite \textit{T. B. Gregory}, Proc. Am. Math. Soc. 82, 505--511 (1981; Zbl 0467.17009) Full Text: DOI
Williams, Floyd L. Lie algebra cohomology of infinite-dimensional modules. (English) Zbl 0419.17009 Adv. Math. 35, 19-29 (1980). Reviewer: S. Priščepionok MSC: 17B56 17B20 22E46 PDF BibTeX XML Cite \textit{F. L. Williams}, Adv. Math. 35, 19--29 (1980; Zbl 0419.17009) Full Text: DOI