Neguț, Andrei The PBW basis of \(U_{q,\overline{q}}(\ddot{\mathfrak{gl}}_n)\). (English) Zbl 07815450 Transform. Groups 29, No. 1, 277-360 (2024). MSC: 17Bxx 16Txx 16Wxx PDFBibTeX XMLCite \textit{A. Neguț}, Transform. Groups 29, No. 1, 277--360 (2024; Zbl 07815450) Full Text: DOI arXiv OA License
Frenkel, Edward; Koroteev, Peter; Sage, Daniel S.; Zeitlin, Anton M. \(q\)-opers, \(QQ\)-systems, and Bethe Ansatz. (English) Zbl 07815184 J. Eur. Math. Soc. (JEMS) 26, No. 1, 355-405 (2024). MSC: 82B23 82D40 17B80 14D24 81R50 22E10 39A06 37K35 PDFBibTeX XMLCite \textit{E. Frenkel} et al., J. Eur. Math. Soc. (JEMS) 26, No. 1, 355--405 (2024; Zbl 07815184) Full Text: DOI arXiv
Kožić, Slaven; Sertić, Marina A note on constructing quasi modules for quantum vertex algebras from twisted Yangians. (English) Zbl 07815060 Algebr. Represent. Theory 27, No. 1, 363-380 (2024). MSC: 17B37 17B69 PDFBibTeX XMLCite \textit{S. Kožić} and \textit{M. Sertić}, Algebr. Represent. Theory 27, No. 1, 363--380 (2024; Zbl 07815060) Full Text: DOI arXiv
Caudrelier, Vincent; Dell’Atti, Marta; Singh, Anup Anand Lagrangian multiforms on coadjoint orbits for finite-dimensional integrable systems. (English) Zbl 07812616 Lett. Math. Phys. 114, No. 1, Paper No. 34, 52 p. (2024). MSC: 17B80 35Q58 37J05 37J15 70H06 PDFBibTeX XMLCite \textit{V. Caudrelier} et al., Lett. Math. Phys. 114, No. 1, Paper No. 34, 52 p. (2024; Zbl 07812616) Full Text: DOI arXiv OA License
Jiang, Jun; Li, Yunnan; Sheng, Yunhe Cohomologies of difference Lie groups and the van Est theorem. (English) Zbl 07812451 J. Algebra 645, 116-142 (2024). Reviewer: Mee Seong Im (Annapolis) MSC: 13N99 17B40 17B56 20J06 PDFBibTeX XMLCite \textit{J. Jiang} et al., J. Algebra 645, 116--142 (2024; Zbl 07812451) Full Text: DOI arXiv
Jiang, Jun; Sheng, Yunhe; Zhu, Chenchang Lie theory and cohomology of relative Rota-Baxter operators. (English) Zbl 07811234 J. Lond. Math. Soc., II. Ser. 109, No. 2, Article ID e12863, 34 p. (2024). MSC: 17B38 17B56 22E60 PDFBibTeX XMLCite \textit{J. Jiang} et al., J. Lond. Math. Soc., II. Ser. 109, No. 2, Article ID e12863, 34 p. (2024; Zbl 07811234) Full Text: DOI arXiv OA License
Delduc, F.; Hoare, B.; Magro, M. Towards a quadratic Poisson algebra for the subtracted classical monodromy of symmetric space sine-Gordon theories. (English) Zbl 07809978 J. Phys. A, Math. Theor. 57, No. 6, Article ID 065401, 39 p. (2024). MSC: 81-XX 35-XX PDFBibTeX XMLCite \textit{F. Delduc} et al., J. Phys. A, Math. Theor. 57, No. 6, Article ID 065401, 39 p. (2024; Zbl 07809978) Full Text: DOI arXiv OA License
Bai, Chengming; Guo, Li; Sheng, Yunhe; Tang, Rong Post-groups, (Lie-)Butcher groups and the Yang-Baxter equation. (English) Zbl 07808070 Math. Ann. 388, No. 3, 3127-3167 (2024). Reviewer: Lorenzo Stefanello (Pisa) MSC: 22E60 16T25 17B38 65L99 16T05 18M60 PDFBibTeX XMLCite \textit{C. Bai} et al., Math. Ann. 388, No. 3, 3127--3167 (2024; Zbl 07808070) Full Text: DOI arXiv
Eslami-Rad, Anahita; Magnot, Jean-Pierre; Reyes, Enrique G.; Rubtsov, Vladimir Diffeologies and generalized Kadomtsev-Petviashvili hierarchies. (English) Zbl 07807752 Magnot, Jean-Pierre (ed.), Recent advances in diffeologies and their applications. AMS-EMS-SMF special session, Université de Grenoble-Alpes, Grenoble, France, July 18–20, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 794, 211-222 (2024). MSC: 37K10 22E65 35R15 57P99 PDFBibTeX XMLCite \textit{A. Eslami-Rad} et al., Contemp. Math. 794, 211--222 (2024; Zbl 07807752) Full Text: DOI
Caudrelier, Vincent; Stoppato, Matteo; Vicedo, Benoît Classical Yang-Baxter equation, Lagrangian multiforms and ultralocal integrable hierarchies. (English) Zbl 07798464 Commun. Math. Phys. 405, No. 1, Paper No. 12, 67 p. (2024). MSC: 37K10 37K58 37K30 16T25 PDFBibTeX XMLCite \textit{V. Caudrelier} et al., Commun. Math. Phys. 405, No. 1, Paper No. 12, 67 p. (2024; Zbl 07798464) Full Text: DOI arXiv OA License
Bahraminasab, M. R.; Ghominejad, M. \( \mathcal{S}\)-modular transformation of the \(\mathcal{N}=2\) superconformal algebra characters. (English. Russian original) Zbl 07824533 Theor. Math. Phys. 217, No. 2, 1640-1660 (2023); translation from Teor. Mat. Fiz. 217, No. 2, 260-284 (2023). MSC: 81R10 81T30 33C65 PDFBibTeX XMLCite \textit{M. R. Bahraminasab} and \textit{M. Ghominejad}, Theor. Math. Phys. 217, No. 2, 1640--1660 (2023; Zbl 07824533); translation from Teor. Mat. Fiz. 217, No. 2, 260--284 (2023) Full Text: DOI
Wang, Haifeng; Zhang, Yufeng; Li, Chuanzhong A multi-component super integrable Dirac hierarchy. (English) Zbl 07799172 Phys. Lett., B 847, Article ID 138323, 11 p. (2023). MSC: 81-XX 83-XX PDFBibTeX XMLCite \textit{H. Wang} et al., Phys. Lett., B 847, Article ID 138323, 11 p. (2023; Zbl 07799172) Full Text: DOI
Álvarez, Daniel Reduction of symplectic groupoids and quotients of quasi-Poisson manifolds. (English) Zbl 07785101 Transform. Groups 28, No. 4, 1357-1374 (2023). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 PDFBibTeX XMLCite \textit{D. Álvarez}, Transform. Groups 28, No. 4, 1357--1374 (2023; Zbl 07785101) Full Text: DOI arXiv
Wang, Haifeng; Zhang, Yufeng; Li, Chuanzhong Multi-component super integrable Hamiltonian hierarchies. (English) Zbl 07767802 Physica D 456, Article ID 133918, 9 p. (2023). MSC: 37K10 37K30 35Q51 PDFBibTeX XMLCite \textit{H. Wang} et al., Physica D 456, Article ID 133918, 9 p. (2023; Zbl 07767802) Full Text: DOI
Jing, Naihuan; Zhang, Xia; Liu, Ming \(R\)-matrix presentation of quantum affine algebra in type \(A_{2n-1}^{(2)}\). (English) Zbl 07758616 Front. Math. (Beijing) 18, No. 3, 513-564 (2023). MSC: 17B37 PDFBibTeX XMLCite \textit{N. Jing} et al., Front. Math. (Beijing) 18, No. 3, 513--564 (2023; Zbl 07758616) Full Text: DOI arXiv
Mertens, Thomas G. Quantum exponentials for the modular double and applications in gravity models. (English) Zbl 07754685 J. High Energy Phys. 2023, No. 9, Paper No. 106, 31 p. (2023). MSC: 81-XX PDFBibTeX XMLCite \textit{T. G. Mertens}, J. High Energy Phys. 2023, No. 9, Paper No. 106, 31 p. (2023; Zbl 07754685) Full Text: DOI arXiv OA License
Yuan, Lamei; Liu, Jiefeng Twisting theory, relative Rota-Baxter type operators and \(L_\infty\)-algebras on Lie conformal algebras. (English) Zbl 07754327 J. Algebra 636, 88-122 (2023). MSC: 17A30 17B55 PDFBibTeX XMLCite \textit{L. Yuan} and \textit{J. Liu}, J. Algebra 636, 88--122 (2023; Zbl 07754327) Full Text: DOI arXiv
Gao, Xing; Guo, Li; Liu, Yanjun; Zhu, Zhi-Cheng Operated groups, differential groups and Rota-Baxter groups with an emphasis on the free objects. (English) Zbl 07747595 Commun. Algebra 51, No. 11, 4481-4500 (2023). Reviewer: Egle Bettio (Venezia) MSC: 20F28 05E16 17B38 20E05 20F40 PDFBibTeX XMLCite \textit{X. Gao} et al., Commun. Algebra 51, No. 11, 4481--4500 (2023; Zbl 07747595) Full Text: DOI arXiv
Cariñena, José F.; Guha, Partha; Rañada, Manuel F. Painlevé equations, integrable systems and the stabilizer set of Virasoro orbit. (English) Zbl 1520.34014 Rev. Math. Phys. 35, No. 7, Article ID 2330004, 43 p. (2023). MSC: 34A26 34A34 35Q53 PDFBibTeX XMLCite \textit{J. F. Cariñena} et al., Rev. Math. Phys. 35, No. 7, Article ID 2330004, 43 p. (2023; Zbl 1520.34014) Full Text: DOI
Khodzitskii, Artem Monomial Rota-Baxter operators of nonzero weight on \(F[x, y]\) coming from averaging operators. (English) Zbl 07735335 Mediterr. J. Math. 20, No. 5, Paper No. 251, 26 p. (2023). MSC: 16W99 PDFBibTeX XMLCite \textit{A. Khodzitskii}, Mediterr. J. Math. 20, No. 5, Paper No. 251, 26 p. (2023; Zbl 07735335) Full Text: DOI arXiv
Bertola, M.; Harnad, J.; Hurtubise, J. Hamiltonian structure of rational isomonodromic deformation systems. (English) Zbl 1520.37042 J. Math. Phys. 64, No. 8, Article ID 083502, 34 p. (2023). MSC: 37J06 34M55 34M56 37J35 PDFBibTeX XMLCite \textit{M. Bertola} et al., J. Math. Phys. 64, No. 8, Article ID 083502, 34 p. (2023; Zbl 1520.37042) Full Text: DOI arXiv
Algethami, Dakhilallah; Mudrov, Andrey Quantum symmetric conjugacy classes of non-exceptional groups. (English) Zbl 1520.17020 J. Math. Phys. 64, No. 8, Article ID 081703, 13 p. (2023). MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{D. Algethami} and \textit{A. Mudrov}, J. Math. Phys. 64, No. 8, Article ID 081703, 13 p. (2023; Zbl 1520.17020) Full Text: DOI arXiv
Kong, Fei Quantum affine vertex algebras associated to untwisted quantum affinization algebras. (English) Zbl 07732073 Commun. Math. Phys. 402, No. 3, 2577-2625 (2023). MSC: 17B37 17B69 81R50 PDFBibTeX XMLCite \textit{F. Kong}, Commun. Math. Phys. 402, No. 3, 2577--2625 (2023; Zbl 07732073) Full Text: DOI arXiv
Porubov, E. O.; Tsiganov, A. V. Second order Killing tensors related to symmetric spaces. (English) Zbl 1526.37074 J. Geom. Phys. 191, Article ID 104911, 23 p. (2023). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37J35 37J39 53B20 53C35 53C30 53Z05 PDFBibTeX XMLCite \textit{E. O. Porubov} and \textit{A. V. Tsiganov}, J. Geom. Phys. 191, Article ID 104911, 23 p. (2023; Zbl 1526.37074) Full Text: DOI arXiv
de Leeuw, Marius; Nepomechie, Rafael I.; Retore, Ana L. Flag integrable models and generalized graded algebras. (English) Zbl 07716819 J. High Energy Phys. 2023, No. 6, Paper No. 113, 52 p. (2023). MSC: 81-XX PDFBibTeX XMLCite \textit{M. de Leeuw} et al., J. High Energy Phys. 2023, No. 6, Paper No. 113, 52 p. (2023; Zbl 07716819) Full Text: DOI arXiv
Zhu, Zhicheng; Zhang, Huhu; Gao, Xing Free weighted (modified) differential algebras, free (modified) Rota-Baxter algebras and Gröbner-Shirshov bases. (English) Zbl 07713613 Int. J. Algebra Comput. 33, No. 4, 787-817 (2023). Reviewer: Loïc Foissy (Calais) MSC: 16S10 17B38 16Z10 12H05 16T30 PDFBibTeX XMLCite \textit{Z. Zhu} et al., Int. J. Algebra Comput. 33, No. 4, 787--817 (2023; Zbl 07713613) Full Text: DOI arXiv
Andruskiewitsch, Nicolás; Angiono, Iván; Yakimov, Milen Poisson orders on large quantum groups. (English) Zbl 07707517 Adv. Math. 428, Article ID 109134, 66 p. (2023). Reviewer: Serban Raianu (Torrance) MSC: 16T05 16T20 17B37 17B62 PDFBibTeX XMLCite \textit{N. Andruskiewitsch} et al., Adv. Math. 428, Article ID 109134, 66 p. (2023; Zbl 07707517) Full Text: DOI arXiv
Hong, Yanyong; Bai, Chengming; Guo, Li Infinite-dimensional Lie bialgebras via affinization of Novikov bialgebras and Koszul duality. (English) Zbl 07707367 Commun. Math. Phys. 401, No. 2, 2011-2049 (2023). MSC: 17B65 17A30 17B62 17B60 PDFBibTeX XMLCite \textit{Y. Hong} et al., Commun. Math. Phys. 401, No. 2, 2011--2049 (2023; Zbl 07707367) Full Text: DOI arXiv
Gan, Aiping; Guo, Li; Wang, Shoufeng Integral operators on lattices. (English) Zbl 07701685 Order 40, No. 1, 63-86 (2023). MSC: 16T30 06-XX PDFBibTeX XMLCite \textit{A. Gan} et al., Order 40, No. 1, 63--86 (2023; Zbl 07701685) Full Text: DOI arXiv
Xia, Baoqiang Vector nonlinear Schrödinger equation with an integrable defect and new integrable boundary conditions. (English) Zbl 1520.37053 Physica D 450, Article ID 133769, 12 p. (2023). MSC: 37K10 37K35 35Q55 PDFBibTeX XMLCite \textit{B. Xia}, Physica D 450, Article ID 133769, 12 p. (2023; Zbl 1520.37053) Full Text: DOI
Leite, Ricardo S.; Saldanha, Nicolau C.; Martínez Torres, David; Tomei, Carlos Linearizing Toda and SVD flows on large phase spaces of matrices with real spectrum. (English) Zbl 1520.37045 Physica D 450, Article ID 133752, 10 p. (2023). MSC: 37J35 37J37 PDFBibTeX XMLCite \textit{R. S. Leite} et al., Physica D 450, Article ID 133752, 10 p. (2023; Zbl 1520.37045) Full Text: DOI arXiv
Montani, H. Lagrangian and orthogonal splittings, quasitriangular Lie bialgebras, and almost complex product structures. (English) Zbl 1512.17037 J. Math. Phys. 64, No. 5, Article ID 053505, 23 p. (2023). MSC: 17B62 17B05 17B10 17B81 PDFBibTeX XMLCite \textit{H. Montani}, J. Math. Phys. 64, No. 5, Article ID 053505, 23 p. (2023; Zbl 1512.17037) Full Text: DOI arXiv
Zhang, Shilong; Liu, Jiefeng On Rota-Baxter Lie 2-algebras. (English) Zbl 1516.17021 Theory Appl. Categ. 39, 545-566 (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 17B38 18N25 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{J. Liu}, Theory Appl. Categ. 39, 545--566 (2023; Zbl 1516.17021) Full Text: arXiv Link
Bardakov, V. G.; Talalaev, D. V. Extensions of Yang-Baxter sets. (English. Russian original) Zbl 1516.16030 Theor. Math. Phys. 215, No. 2, 609-621 (2023); translation from Teor. Mat. Fiz. 215, No. 2, 176-189 (2023). MSC: 16T25 PDFBibTeX XMLCite \textit{V. G. Bardakov} and \textit{D. V. Talalaev}, Theor. Math. Phys. 215, No. 2, 609--621 (2023; Zbl 1516.16030); translation from Teor. Mat. Fiz. 215, No. 2, 176--189 (2023) Full Text: DOI arXiv
Gahramanov, Ilmar; Keskin, Batuhan; Kosva, Dilara; Mullahasanoglu, Mustafa On Bailey pairs for \(\mathcal{N} = 2\) supersymmetric gauge theories on \(S_b^3/\mathbb{Z}_r\). (English) Zbl 07690733 J. High Energy Phys. 2023, No. 3, Paper No. 169, 24 p. (2023). MSC: 81-XX PDFBibTeX XMLCite \textit{I. Gahramanov} et al., J. High Energy Phys. 2023, No. 3, Paper No. 169, 24 p. (2023; Zbl 07690733) Full Text: DOI arXiv
Das, Apurba; Guo, Shuangjian Relative Rota-Baxter systems on Leibniz algebras. (English) Zbl 1517.17002 J. Korean Math. Soc. 60, No. 2, 303-325 (2023). MSC: 17A32 17B38 17B56 PDFBibTeX XMLCite \textit{A. Das} and \textit{S. Guo}, J. Korean Math. Soc. 60, No. 2, 303--325 (2023; Zbl 1517.17002) Full Text: DOI arXiv
Tang, Rong; Bai, Chengming; Guo, Li; Sheng, Yunhe Homotopy Rota-Baxter operators and post-Lie algebras. (English) Zbl 1519.17023 J. Noncommut. Geom. 17, No. 1, 1-35 (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 17B38 17B10 17B56 17A42 55P43 PDFBibTeX XMLCite \textit{R. Tang} et al., J. Noncommut. Geom. 17, No. 1, 1--35 (2023; Zbl 1519.17023) Full Text: DOI arXiv
van Diejen, Jan Felipe Spectrum and orthogonality of the Bethe ansatz for the periodic \(q\)-difference Toda chain on \(\mathbb{Z}_{m+1}\). (English) Zbl 07685693 Ann. Henri Poincaré 24, No. 6, 1877-1895 (2023). MSC: 81Q80 82B23 33D52 39A13 37K60 05E05 81Q35 PDFBibTeX XMLCite \textit{J. F. van Diejen}, Ann. Henri Poincaré 24, No. 6, 1877--1895 (2023; Zbl 07685693) Full Text: DOI
Fehér, L. Poisson reductions of master integrable systems on doubles of compact Lie groups. (English) Zbl 1519.37059 Ann. Henri Poincaré 24, No. 6, 1823-1876 (2023). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J35 37J39 17B80 53D05 53D17 53D20 70G45 PDFBibTeX XMLCite \textit{L. Fehér}, Ann. Henri Poincaré 24, No. 6, 1823--1876 (2023; Zbl 1519.37059) Full Text: DOI arXiv
Hentosh, O. E.; Prykarpatskyy, Ya. A.; Balinsky, A. A.; Prykarpatski, A. K. Geometric structures on the orbits of loop diffeomorphism groups and related heavenly-type Hamiltonian systems. II. (English. Ukrainian original) Zbl 1517.37078 Ukr. Math. J. 74, No. 9, 1348-1368 (2023); translation from Ukr. Mat. Zh. 74, No. 9, 1182-1200 (2022). MSC: 37K65 37K30 58D05 70G45 PDFBibTeX XMLCite \textit{O. E. Hentosh} et al., Ukr. Math. J. 74, No. 9, 1348--1368 (2023; Zbl 1517.37078); translation from Ukr. Mat. Zh. 74, No. 9, 1182--1200 (2022) Full Text: DOI
Sheng, Yunhe; Wang, You Quasi-triangular and factorizable antisymmetric infinitesimal bialgebras. (English) Zbl 07681082 J. Algebra 628, 415-433 (2023). Reviewer: Ramón González Rodríguez (Vigo) MSC: 16T10 17B38 PDFBibTeX XMLCite \textit{Y. Sheng} and \textit{Y. Wang}, J. Algebra 628, 415--433 (2023; Zbl 07681082) Full Text: DOI
Apresyan, Elena; Sarkissian, Gor; Spiridonov, Vyacheslav P. A parafermionic hypergeometric function and supersymmetric \(6j\)-symbols. (English) Zbl 07678607 Nucl. Phys., B 990, Article ID 116170, 28 p. (2023). MSC: 33C80 33C05 81R10 PDFBibTeX XMLCite \textit{E. Apresyan} et al., Nucl. Phys., B 990, Article ID 116170, 28 p. (2023; Zbl 07678607) Full Text: DOI arXiv
Lang, Honglei; Sheng, Yunhe Factorizable Lie bialgebras, quadratic Rota-Baxter Lie algebras and Rota-Baxter Lie bialgebras. (English) Zbl 07678019 Commun. Math. Phys. 397, No. 2, 763-791 (2023). MSC: 17B38 81R50 17B62 PDFBibTeX XMLCite \textit{H. Lang} and \textit{Y. Sheng}, Commun. Math. Phys. 397, No. 2, 763--791 (2023; Zbl 07678019) Full Text: DOI arXiv
Kožić, Slaven On the \(h\)-adic quantum vertex algebras associated with Hecke symmetries. (English) Zbl 07678016 Commun. Math. Phys. 397, No. 2, 607-634 (2023). MSC: 17B69 81R50 PDFBibTeX XMLCite \textit{S. Kožić}, Commun. Math. Phys. 397, No. 2, 607--634 (2023; Zbl 07678016) Full Text: DOI arXiv
Sun, Qinxiu; Jing, Naihuan \(\mathcal{O}\)-operators and related structures on Leibniz algebras. (English) Zbl 1520.17004 Commun. Algebra 51, No. 5, 2199-2216 (2023). MSC: 17A32 13D03 16T10 16S80 PDFBibTeX XMLCite \textit{Q. Sun} and \textit{N. Jing}, Commun. Algebra 51, No. 5, 2199--2216 (2023; Zbl 1520.17004) Full Text: DOI arXiv
Liu, Zhimin; Zhu, Shenglin Structures of adjoint-stable algebras over factorizable Hopf algebras. (English) Zbl 1526.16028 Commun. Algebra 51, No. 5, 1800-1806 (2023). Reviewer: Leonardo Silva (Porto Alegre) MSC: 16T05 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{S. Zhu}, Commun. Algebra 51, No. 5, 1800--1806 (2023; Zbl 1526.16028) Full Text: DOI arXiv
Hentosh, O. E.; Prykarpatskyy, Ya. A.; Balinsky, A. A.; Prykarpatski, A. K. Geometric structures on the orbits of loop diffeomorphism groups and related heavenly-type Hamiltonian systems. I. (English. Ukrainian original) Zbl 1515.37075 Ukr. Math. J. 74, No. 8, 1175-1208 (2023); translation from Ukr. Mat. Zh. 74, No. 8, 1029-1059 (2022). MSC: 37K30 37K10 37K65 17B80 PDFBibTeX XMLCite \textit{O. E. Hentosh} et al., Ukr. Math. J. 74, No. 8, 1175--1208 (2023; Zbl 1515.37075); translation from Ukr. Mat. Zh. 74, No. 8, 1029--1059 (2022) Full Text: DOI
Chen, Ming; Liu, Jiefeng; Ma, Yao Lie \(n\)-algebras and cohomologies of relative Rota-Baxter operators on \(n\)-Lie algebras. (English) Zbl 1517.17004 J. Geom. Phys. 187, Article ID 104785, 24 p. (2023). MSC: 17A42 17A60 17B38 18G90 PDFBibTeX XMLCite \textit{M. Chen} et al., J. Geom. Phys. 187, Article ID 104785, 24 p. (2023; Zbl 1517.17004) Full Text: DOI arXiv
Gubarev, Vsevolod; Kozlov, Roman Conformal Yang-Baxter equation on \(\mathrm{Cur}(\mathrm{sl}_2(\mathbb{C}))\). (English) Zbl 1511.17043 J. Math. Phys. 64, No. 1, Article ID 011704, 14 p. (2023). MSC: 17B38 17B69 17B37 17B62 81R50 PDFBibTeX XMLCite \textit{V. Gubarev} and \textit{R. Kozlov}, J. Math. Phys. 64, No. 1, Article ID 011704, 14 p. (2023; Zbl 1511.17043) Full Text: DOI arXiv
Li, Zhonghua; Wang, Shukun Rota-Baxter systems and skew trusses. (English) Zbl 1514.17019 J. Algebra 623, 447-480 (2023). Reviewer: Cindy Tsang (Tokyo) MSC: 17B38 17B40 22E60 PDFBibTeX XMLCite \textit{Z. Li} and \textit{S. Wang}, J. Algebra 623, 447--480 (2023; Zbl 1514.17019) Full Text: DOI arXiv
Sako, Akifumi Category of quantizations and inverse problem. (English) Zbl 1521.81122 Nucl. Phys., B 989, Article ID 116146, 38 p. (2023). MSC: 81S10 17B63 15A29 PDFBibTeX XMLCite \textit{A. Sako}, Nucl. Phys., B 989, Article ID 116146, 38 p. (2023; Zbl 1521.81122) Full Text: DOI arXiv
Bloch, Anthony M.; Karp, Steven N. Gradient flows, adjoint orbits, and the topology of totally nonnegative flag varieties. (English) Zbl 1526.17011 Commun. Math. Phys. 398, No. 3, 1213-1289 (2023). MSC: 17B08 14M15 15B48 17B45 20G20 37B35 81T60 PDFBibTeX XMLCite \textit{A. M. Bloch} and \textit{S. N. Karp}, Commun. Math. Phys. 398, No. 3, 1213--1289 (2023; Zbl 1526.17011) Full Text: DOI arXiv
Bardakov, Valeriy G.; Gubarev, Vsevolod Rota-Baxter operators on groups. (English) Zbl 1518.17022 Proc. Indian Acad. Sci., Math. Sci. 133, No. 1, Paper No. 4, 29 p. (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 17B38 20D08 PDFBibTeX XMLCite \textit{V. G. Bardakov} and \textit{V. Gubarev}, Proc. Indian Acad. Sci., Math. Sci. 133, No. 1, Paper No. 4, 29 p. (2023; Zbl 1518.17022) Full Text: DOI arXiv
Koroteev, Peter; Zeitlin, Anton M. Toroidal \(q\)-opers. (English) Zbl 07663701 J. Inst. Math. Jussieu 22, No. 2, 581-642 (2023). MSC: 22E57 14D20 14H81 37N20 81R50 82B23 PDFBibTeX XMLCite \textit{P. Koroteev} and \textit{A. M. Zeitlin}, J. Inst. Math. Jussieu 22, No. 2, 581--642 (2023; Zbl 07663701) Full Text: DOI arXiv
Gunningham, Sam; Jordan, David; Safronov, Pavel The finiteness conjecture for skein modules. (English) Zbl 1527.57014 Invent. Math. 232, No. 1, 301-363 (2023). Reviewer: Robert Owczarek (Los Alamos) MSC: 57K30 57K31 PDFBibTeX XMLCite \textit{S. Gunningham} et al., Invent. Math. 232, No. 1, 301--363 (2023; Zbl 1527.57014) Full Text: DOI arXiv
Gutierrez-Sagredo, I.; Iglesias Ponte, D.; Marrero, J. C.; Padrón, E.; Ravanpak, Z. Unimodularity and invariant volume forms for Hamiltonian dynamics on Poisson-Lie groups. (English) Zbl 1512.37064 J. Phys. A, Math. Theor. 56, No. 1, Article ID 015203, 22 p. (2023). MSC: 37J06 37J39 53D17 PDFBibTeX XMLCite \textit{I. Gutierrez-Sagredo} et al., J. Phys. A, Math. Theor. 56, No. 1, Article ID 015203, 22 p. (2023; Zbl 1512.37064) Full Text: DOI arXiv
Zhang, Huhu; Gao, Xing; Guo, Li Operator identities on Lie algebras, rewriting systems and Gröbner-Shirshov bases. (English) Zbl 1517.17020 J. Algebra 620, 585-629 (2023). MSC: 17B40 17B38 16Z10 17A61 16S10 05A05 13P10 PDFBibTeX XMLCite \textit{H. Zhang} et al., J. Algebra 620, 585--629 (2023; Zbl 1517.17020) Full Text: DOI arXiv
Amor, R.; Athmouni, N.; Ben Hassine, A.; Chtioui, T.; Mabrouk, S. Cohomologies of Rota-Baxter operators on Lie superalgebras and some classifications on Witt superalgebras. (English) Zbl 1519.17021 J. Geom. Phys. 185, Article ID 104733, 13 p. (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 17B38 17B56 17B68 PDFBibTeX XMLCite \textit{R. Amor} et al., J. Geom. Phys. 185, Article ID 104733, 13 p. (2023; Zbl 1519.17021) Full Text: DOI
Koroteev, Peter; Zeitlin, Anton M. \(q\)-opers, \(QQ\)-systems, and Bethe ansatz. II: Generalized minors. (English) Zbl 1512.82017 J. Reine Angew. Math. 795, 271-296 (2023). MSC: 82B23 14D24 22E57 81R12 PDFBibTeX XMLCite \textit{P. Koroteev} and \textit{A. M. Zeitlin}, J. Reine Angew. Math. 795, 271--296 (2023; Zbl 1512.82017) Full Text: DOI arXiv
Keller, Corina; Müller, Lukas Finite symmetries of quantum character stacks. (English) Zbl 1526.57009 Theory Appl. Categ. 39, 51-97 (2023). Reviewer: Eugene Xia (Tainan) MSC: 57K16 18M15 18M60 17B37 PDFBibTeX XMLCite \textit{C. Keller} and \textit{L. Müller}, Theory Appl. Categ. 39, 51--97 (2023; Zbl 1526.57009) Full Text: arXiv Link
Cueca, Miquel; Zhu, Chenchang Shifted symplectic higher Lie groupoids and classifying spaces. (English) Zbl 1510.53094 Adv. Math. 413, Article ID 108829, 64 p. (2023). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 18N65 22E67 PDFBibTeX XMLCite \textit{M. Cueca} and \textit{C. Zhu}, Adv. Math. 413, Article ID 108829, 64 p. (2023; Zbl 1510.53094) Full Text: DOI arXiv
Hou, Shuai; Sheng, Yunhe; Zhou, Yanqiu 3-post-Lie algebras and relative Rota-Baxter operators of nonzero weight on 3-Lie algebras. (English) Zbl 1517.17005 J. Algebra 615, 103-129 (2023). MSC: 17A42 17B56 17B38 PDFBibTeX XMLCite \textit{S. Hou} et al., J. Algebra 615, 103--129 (2023; Zbl 1517.17005) Full Text: DOI arXiv
Gieres, François Improvement of a conserved current density versus adding a total derivative to a Lagrangian density. (English) Zbl 07768729 Fortschr. Phys. 70, No. 9-10, Article ID 2200078, 24 p. (2022). MSC: 81-XX PDFBibTeX XMLCite \textit{F. Gieres}, Fortschr. Phys. 70, No. 9--10, Article ID 2200078, 24 p. (2022; Zbl 07768729) Full Text: DOI arXiv
Sheng, Yunhe A survey on deformations, cohomologies and homotopies of relative Rota-Baxter Lie algebras. (English) Zbl 1523.17037 Bull. Lond. Math. Soc. 54, No. 6, 2045-2065 (2022). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 17B38 17A36 17B56 17B62 PDFBibTeX XMLCite \textit{Y. Sheng}, Bull. Lond. Math. Soc. 54, No. 6, 2045--2065 (2022; Zbl 1523.17037) Full Text: DOI arXiv OA License
Zhao, Jia; Liu, Jiefeng; Sheng, Yunhe Cohomologies and relative Rota-Baxter-Nijenhuis structures of 3-LieRep pairs. (English) Zbl 07678679 Linear Multilinear Algebra 70, No. 21, 6240-6264 (2022). MSC: 17A40 17B05 17B38 17B56 PDFBibTeX XMLCite \textit{J. Zhao} et al., Linear Multilinear Algebra 70, No. 21, 6240--6264 (2022; Zbl 07678679) Full Text: DOI
Skrypnyk, T. On the general solution of the permuted classical Yang-Baxter equation and quasigraded Lie algebras. (English) Zbl 1507.81118 J. Math. Phys. 63, No. 3, Article ID 033507, 21 p. (2022). MSC: 81R12 37J37 16T25 17B38 17B80 PDFBibTeX XMLCite \textit{T. Skrypnyk}, J. Math. Phys. 63, No. 3, Article ID 033507, 21 p. (2022; Zbl 1507.81118) Full Text: DOI
Demulder, Saskia; Raml, Thomas Poisson-Lie T-duality defects and target space fusion. (English) Zbl 07657488 J. High Energy Phys. 2022, No. 11, Paper No. 165, 36 p. (2022). MSC: 81-XX PDFBibTeX XMLCite \textit{S. Demulder} and \textit{T. Raml}, J. High Energy Phys. 2022, No. 11, Paper No. 165, 36 p. (2022; Zbl 07657488) Full Text: DOI arXiv
Cabo-Bizet, Alejandro Quantum phases of \(4d\) \(\mathrm{SU}(N)\) \(\mathcal{N} = 4\) SYM. (English) Zbl 07653805 J. High Energy Phys. 2022, No. 10, Paper No. 52, 44 p. (2022). MSC: 81-XX PDFBibTeX XMLCite \textit{A. Cabo-Bizet}, J. High Energy Phys. 2022, No. 10, Paper No. 52, 44 p. (2022; Zbl 07653805) Full Text: DOI arXiv
Trunina, E.; Zotov, A. Lax equations for relativistic \(\mathrm{GL}(NM, \mathbb{C})\) Gaudin models on elliptic curve. (English) Zbl 1520.37047 J. Phys. A, Math. Theor. 55, No. 39, Article ID 395202, 38 p. (2022). MSC: 37J35 37J37 82B23 81Q80 16T25 PDFBibTeX XMLCite \textit{E. Trunina} and \textit{A. Zotov}, J. Phys. A, Math. Theor. 55, No. 39, Article ID 395202, 38 p. (2022; Zbl 1520.37047) Full Text: DOI arXiv
Fan, Yale; Mertens, Thomas G. Supergroup structure of Jackiw-Teitelboim supergravity. (English) Zbl 1522.83382 J. High Energy Phys. 2022, No. 8, Paper No. 2, 130 p. (2022). MSC: 83E50 83C57 81V17 81T40 83C45 83D05 PDFBibTeX XMLCite \textit{Y. Fan} and \textit{T. G. Mertens}, J. High Energy Phys. 2022, No. 8, Paper No. 2, 130 p. (2022; Zbl 1522.83382) Full Text: DOI arXiv
Butorac, Marijana; Kožić, Slaven On the Heisenberg algebra associated with the rational \(R\)-matrix. (English) Zbl 1507.17026 J. Math. Phys. 63, No. 1, Article ID 011701, 23 p. (2022). MSC: 17B37 17B69 17B65 17B67 81R10 PDFBibTeX XMLCite \textit{M. Butorac} and \textit{S. Kožić}, J. Math. Phys. 63, No. 1, Article ID 011701, 23 p. (2022; Zbl 1507.17026) Full Text: DOI arXiv
Liashyk, A.; Pakuliak, S. Z. Recurrence relations for off-shell Bethe vectors in trigonometric integrable models. (English) Zbl 1505.82021 J. Phys. A, Math. Theor. 55, No. 7, Article ID 075201, 23 p. (2022). MSC: 82B23 81Q80 PDFBibTeX XMLCite \textit{A. Liashyk} and \textit{S. Z. Pakuliak}, J. Phys. A, Math. Theor. 55, No. 7, Article ID 075201, 23 p. (2022; Zbl 1505.82021) Full Text: DOI arXiv
Fan, Yale; Mertens, Thomas G. From quantum groups to Liouville and dilaton quantum gravity. (English) Zbl 1522.83261 J. High Energy Phys. 2022, No. 5, Paper No. 92, 61 p. (2022). MSC: 83C80 81R50 81T40 83C57 83D05 83C45 PDFBibTeX XMLCite \textit{Y. Fan} and \textit{T. G. Mertens}, J. High Energy Phys. 2022, No. 5, Paper No. 92, 61 p. (2022; Zbl 1522.83261) Full Text: DOI arXiv
Kubo, Naotaka; Yokoyama, Shuichi Topological phase, spin Chern-Simons theory and level rank duality on lens space. (English) Zbl 1522.81562 J. High Energy Phys. 2022, No. 4, Paper No. 74, 34 p. (2022). MSC: 81T45 81T60 81T13 81T32 81T30 81T40 PDFBibTeX XMLCite \textit{N. Kubo} and \textit{S. Yokoyama}, J. High Energy Phys. 2022, No. 4, Paper No. 74, 34 p. (2022; Zbl 1522.81562) Full Text: DOI arXiv
Hosomichi, Kazuo; Suzuki, Kohei Supersymmetric vortex loops in 3D gauge theories. (English) Zbl 1522.81630 J. High Energy Phys. 2022, No. 4, Paper No. 27, 58 p. (2022). MSC: 81T60 81T13 81T40 81T45 81T30 PDFBibTeX XMLCite \textit{K. Hosomichi} and \textit{K. Suzuki}, J. High Energy Phys. 2022, No. 4, Paper No. 27, 58 p. (2022; Zbl 1522.81630) Full Text: DOI arXiv
Derkachov, S. E.; Sarkissian, G. A.; Spiridonov, V. P. Elliptic hypergeometric function and \(6j\)-symbols for the \(SL(2,{\mathbb C})\) group. (English. Russian original) Zbl 1516.33011 Theor. Math. Phys. 213, No. 1, 1406-1422 (2022); translation from Teor. Mat. Fiz. 213, No. 1, 108-128 (2022). MSC: 33C80 33C45 PDFBibTeX XMLCite \textit{S. E. Derkachov} et al., Theor. Math. Phys. 213, No. 1, 1406--1422 (2022; Zbl 1516.33011); translation from Teor. Mat. Fiz. 213, No. 1, 108--128 (2022) Full Text: DOI arXiv
Kojima, Takeo Quadratic relations of the deformed \(W\)-algebra for the twisted affine Lie algebra of type \(A_{2N}^{(2)}\). (English) Zbl 1514.81154 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 072, 36 p. (2022). MSC: 81R10 81R12 81R50 81T40 81U15 PDFBibTeX XMLCite \textit{T. Kojima}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 072, 36 p. (2022; Zbl 1514.81154) Full Text: DOI arXiv
Ospel, Cyrille; Panaite, Florin; Vanhaecke, Pol Polarization and deformations of generalized dendriform algebras. (English) Zbl 1525.17002 J. Noncommut. Geom. 16, No. 2, 561-594 (2022). Reviewer: Jerry M. Lodder (Las Cruces) MSC: 17A30 17B38 17A32 PDFBibTeX XMLCite \textit{C. Ospel} et al., J. Noncommut. Geom. 16, No. 2, 561--594 (2022; Zbl 1525.17002) Full Text: DOI arXiv
Esposito, Chiara; de Kleijn, Niek Universal deformation formula, formality and actions. (English) Zbl 1503.53164 J. Noncommut. Geom. 16, No. 2, 423-453 (2022). MSC: 53D55 17B37 PDFBibTeX XMLCite \textit{C. Esposito} and \textit{N. de Kleijn}, J. Noncommut. Geom. 16, No. 2, 423--453 (2022; Zbl 1503.53164) Full Text: DOI arXiv
Ben-Zvi, David; Ganev, Iordan Wonderful asymptotics of matrix coefficient \(D\)-modules. (English) Zbl 1520.14032 Adv. Math. 408, Part A, Article ID 108578, 42 p. (2022). MSC: 14F10 17B10 20M99 14M27 PDFBibTeX XMLCite \textit{D. Ben-Zvi} and \textit{I. Ganev}, Adv. Math. 408, Part A, Article ID 108578, 42 p. (2022; Zbl 1520.14032) Full Text: DOI arXiv
Frenkel, Edward; Hernandez, David; Reshetikhin, Nicolai Folded quantum integrable models and deformed \(W\)-algebras. (English) Zbl 1513.81077 Lett. Math. Phys. 112, No. 4, Paper No. 80, 86 p. (2022). MSC: 81R10 81R50 82B23 17B37 17B80 81Q80 81R12 PDFBibTeX XMLCite \textit{E. Frenkel} et al., Lett. Math. Phys. 112, No. 4, Paper No. 80, 86 p. (2022; Zbl 1513.81077) Full Text: DOI arXiv
Yuan, Lamei \(\mathcal{O}\)-operators and Nijenhuis operators of associative conformal algebras. (English) Zbl 1520.16002 J. Algebra 609, 245-291 (2022). Reviewer: Qinxiu Sun (Hangzhou) MSC: 16D20 16D70 17A30 17B38 17B55 PDFBibTeX XMLCite \textit{L. Yuan}, J. Algebra 609, 245--291 (2022; Zbl 1520.16002) Full Text: DOI arXiv
Goncharov, M. E.; Kozhukhar’, D. E. Rota-Baxter operators of nonzero weight on a complete linear Lie algebra of order two. (English. Russian original) Zbl 1523.17036 Algebra Logic 61, No. 1, 67-70 (2022); translation from Algebra Logika 61, No. 1, 93-97 (2022). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 17B38 PDFBibTeX XMLCite \textit{M. E. Goncharov} and \textit{D. E. Kozhukhar'}, Algebra Logic 61, No. 1, 67--70 (2022; Zbl 1523.17036); translation from Algebra Logika 61, No. 1, 93--97 (2022) Full Text: DOI
Belousov, N.; Derkachov, S. Regular representation of the group \(\mathrm{GL}(N, \mathbb{R})\): factorization, Casimir operators and Toda chain. (English. Russian original) Zbl 1502.22006 J. Math. Sci., New York 264, No. 3, 215-231 (2022); translation from Zap. Nauchn. Semin. POMI 494, 23-47 (2020). Reviewer: Béchir Dali (Bizerte) MSC: 22E15 20G05 20G20 PDFBibTeX XMLCite \textit{N. Belousov} and \textit{S. Derkachov}, J. Math. Sci., New York 264, No. 3, 215--231 (2022; Zbl 1502.22006); translation from Zap. Nauchn. Semin. POMI 494, 23--47 (2020) Full Text: DOI
Li, Yunnan; Guo, Li Braided Rota-Baxter algebras, quantum quasi-shuffle algebras and braided dendriform algebras. (English) Zbl 1505.16044 J. Algebra Appl. 21, No. 7, Article ID 2250134, 25 p. (2022). Reviewer: Loïc Foissy (Calais) MSC: 16T05 16W99 16T25 17B37 17B38 PDFBibTeX XMLCite \textit{Y. Li} and \textit{L. Guo}, J. Algebra Appl. 21, No. 7, Article ID 2250134, 25 p. (2022; Zbl 1505.16044) Full Text: DOI arXiv
Bai, Chengming; Guo, Li; Sheng, Yunhe Coherent categorical structures for Lie bialgebras, Manin triples, classical \(r\)-matrices and pre-Lie algebras. (English) Zbl 1500.17021 Forum Math. 34, No. 4, 989-1013 (2022). Reviewer: Alexander B. Levin (Washington) MSC: 17B62 17B38 16T10 16T25 12H10 16W99 57R56 PDFBibTeX XMLCite \textit{C. Bai} et al., Forum Math. 34, No. 4, 989--1013 (2022; Zbl 1500.17021) Full Text: DOI arXiv
Sheng, Yunhe; Zhao, Jia Relative Rota-Baxter operators and symplectic structures on Lie-Yamaguti algebras. (English) Zbl 1512.17003 Commun. Algebra 50, No. 9, 4056-4073 (2022). MSC: 17A30 17B38 17B60 PDFBibTeX XMLCite \textit{Y. Sheng} and \textit{J. Zhao}, Commun. Algebra 50, No. 9, 4056--4073 (2022; Zbl 1512.17003) Full Text: DOI arXiv
Fehér, L. Bi-Hamiltonian structure of Sutherland models coupled to two \(\mathfrak{u}(n)^*\)-valued spins from Poisson reduction. (English) Zbl 1513.70063 Nonlinearity 35, No. 6, 2971-3003 (2022). MSC: 70H06 37J35 37K10 70G65 PDFBibTeX XMLCite \textit{L. Fehér}, Nonlinearity 35, No. 6, 2971--3003 (2022; Zbl 1513.70063) Full Text: DOI arXiv
Liu, Jiefeng; Wang, Qi Pre-Lie analogues of Poisson-Nijenhuis structures and Maurer-Cartan equations. (English) Zbl 1517.17001 J. Algebra Appl. 21, No. 6, Article ID 2250120, 34 p. (2022). MSC: 17A30 17A60 17B38 17D25 PDFBibTeX XMLCite \textit{J. Liu} and \textit{Q. Wang}, J. Algebra Appl. 21, No. 6, Article ID 2250120, 34 p. (2022; Zbl 1517.17001) Full Text: DOI arXiv
Fehér, L.; Juhász, B. A note on quadratic Poisson brackets on \(\text{gl}(n,\mathbb{R})\) related to Toda lattices. (English) Zbl 1506.70018 Lett. Math. Phys. 112, No. 3, Paper No. 45, 9 p. (2022). MSC: 70H06 37K10 PDFBibTeX XMLCite \textit{L. Fehér} and \textit{B. Juhász}, Lett. Math. Phys. 112, No. 3, Paper No. 45, 9 p. (2022; Zbl 1506.70018) Full Text: DOI arXiv
Baseilhac, Stéphane; Roche, Philippe Unrestricted quantum moduli algebras. I: The case of punctured spheres. (English) Zbl 1527.17006 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 025, 78 p. (2022). MSC: 17B37 20G42 14M35 57R56 81R50 PDFBibTeX XMLCite \textit{S. Baseilhac} and \textit{P. Roche}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 025, 78 p. (2022; Zbl 1527.17006) Full Text: DOI arXiv
Jiang, Jun; Sheng, Yunhe Representations and cohomologies of relative Rota-Baxter Lie algebras and applications. (English) Zbl 1500.17016 J. Algebra 602, 637-670 (2022). Reviewer: Shanghua Zheng (Nanchang) MSC: 17B38 PDFBibTeX XMLCite \textit{J. Jiang} and \textit{Y. Sheng}, J. Algebra 602, 637--670 (2022; Zbl 1500.17016) Full Text: DOI arXiv
Manojlović, N.; Salom, I. Rational \(so(3)\) Gaudin model with general boundary terms. (English) Zbl 1495.81057 Nucl. Phys., B 978, Article ID 115747, 29 p. (2022). MSC: 81Q40 81Q10 81R10 82B20 82D40 37K10 PDFBibTeX XMLCite \textit{N. Manojlović} and \textit{I. Salom}, Nucl. Phys., B 978, Article ID 115747, 29 p. (2022; Zbl 1495.81057) Full Text: DOI
Affleck, Ian; Bykov, Dmitri; Wamer, Kyle Flag manifold sigma models. Spin chains and integrable theories. (English) Zbl 1494.81008 Phys. Rep. 953, 1-93 (2022). MSC: 81Q80 82B20 14M15 81R30 81S10 81Q60 81Q35 70H45 82B28 PDFBibTeX XMLCite \textit{I. Affleck} et al., Phys. Rep. 953, 1--93 (2022; Zbl 1494.81008) Full Text: DOI arXiv
Li, Luen-Chau Factorization problems on rational loop groups, and the Poisson geometry of Yang-Baxter maps. (English) Zbl 1493.16039 Math. Phys. Anal. Geom. 25, No. 1, Paper No. 6, 51 p. (2022). MSC: 16T99 16T25 35Q55 37J39 PDFBibTeX XMLCite \textit{L.-C. Li}, Math. Phys. Anal. Geom. 25, No. 1, Paper No. 6, 51 p. (2022; Zbl 1493.16039) Full Text: DOI
Peng, Xiao-Song; Zhang, Yi; Gao, Xing; Luo, Yan-Feng Universal enveloping of (modified) \(\lambda\)-differential Lie algebras. (English) Zbl 1496.16025 Linear Multilinear Algebra 70, No. 6, 1102-1127 (2022). Reviewer: Laurent Poinsot (Villetaneuse) MSC: 16S30 16S10 17B35 17B60 12H05 PDFBibTeX XMLCite \textit{X.-S. Peng} et al., Linear Multilinear Algebra 70, No. 6, 1102--1127 (2022; Zbl 1496.16025) Full Text: DOI
Goncharov, Maxim; Gubarev, Vsevolod Rota-Baxter operators of nonzero weight on the matrix algebra of order three. (English) Zbl 1509.16045 Linear Multilinear Algebra 70, No. 6, 1055-1080 (2022). Reviewer: Yi Zhang (Nanjing) MSC: 16W99 PDFBibTeX XMLCite \textit{M. Goncharov} and \textit{V. Gubarev}, Linear Multilinear Algebra 70, No. 6, 1055--1080 (2022; Zbl 1509.16045) Full Text: DOI arXiv
Dall’Olio, Pietro; Weber, Axel Exploiting the scheme dependence of the renormalization group improvement in infrared Yang-Mills theory. (English) Zbl 1514.81196 Ann. Phys. 439, Article ID 168801, 55 p. (2022). MSC: 81T13 81T17 81V35 PDFBibTeX XMLCite \textit{P. Dall'Olio} and \textit{A. Weber}, Ann. Phys. 439, Article ID 168801, 55 p. (2022; Zbl 1514.81196) Full Text: DOI arXiv
Kamnitzer, Joel; Pham, Khoa; Weekes, Alex Hamiltonian reduction for affine Grassmannian slices and truncated shifted Yangians. (English) Zbl 1484.14095 Adv. Math. 399, Article ID 108281, 52 p. (2022). Reviewer: Mee Seong Im (Annapolis) MSC: 14M15 PDFBibTeX XMLCite \textit{J. Kamnitzer} et al., Adv. Math. 399, Article ID 108281, 52 p. (2022; Zbl 1484.14095) Full Text: DOI arXiv
Baseilhac, Pascal Freidel-Maillet type presentations of \(U_q(sl_2)\). (English) Zbl 1485.81043 Nucl. Phys., B 975, Article ID 115682, 23 p. (2022). MSC: 81R50 16T05 PDFBibTeX XMLCite \textit{P. Baseilhac}, Nucl. Phys., B 975, Article ID 115682, 23 p. (2022; Zbl 1485.81043) Full Text: DOI arXiv