VK
Victor G. Kac
math.RTmath.MPmath-phmath.QAnlin.SImath.RAhep-thq-algmath.AGmath.GR
On Valency
published · living versionsW_hfcx9x2u·v1 · currentpublished
Preprints & journals
164 papers in the corpus · 1980–2026On unitary vertex operator algebras2610.29878v1 · Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi2026 · 0 citationsarXivon Valency
Classification of degenerate Verma modules over 2603.16507v1 · Nicoletta Cantarini, Fabrizio Caselli, Victor Kac2026 · 0 citationsarXiv
(Quasi-)admissible modules over symmetrizable Kac-Moody superalgebras2512.00460v2 · Maria Gorelik, Victor Kac2025 · 0 citationsarXiv
Spectral flow and application to unitarity of representations of minimal -algebras2508.06873v3 · Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi2025 · 0 citationsarXiv
The Quiver Problem is NP Complete2508.02975v1 · Victor Kac, Bangzheng Li2025 · 0 citationsarXiv
Extremal unitary representations of big superconformal algebra2507.10130v2 · Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi2025 · 0 citationsJapan. J. Math. 21, 67-143(2026)
Modular Invariance of Characters for Affine Lie Algebras at Subprincipal Admissible Levels2504.17159v1 · Victor G. Kac, Minoru Wakimoto2025 · 0 citationsarXiv
Embeddings of E(1,6) in E(5,10) and E(4,4)2411.16225v2 · Nicoletta Cantarini, Fabrizio Caselli, Victor Kac2024 · 0 citationsCOMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2025, pp. 1 - 23
On modular invariance of quantum affine -algebras2409.18765v3 · Victor G. Kac, Minoru Wakimoto2024 · 0 citationsarXiv
Conformal operads and the basic vertex algebra cohomology complex2407.05725v1 · Alberto De Sole, Reimundo Heluani, Victor Kac2024 · 0 citationsarXiv
Unitarity of minimal -algebras and their representations II: Ramond sector2405.19090v2 · Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi2024 · 1 citationJpn. J. Math. 2025
Polynomial tau-functions of the n-th Sawada-Kotera hierarchy2312.00602v2 · Victor Kac, Johan Van de Leur2023 · 2 citationsarXiv
On simplicity of universal minimal W-algebras2307.14220v1 · Maria Gorelik, Victor G. Kac2023 · 0 citationsarXiv
Poisson vertex algebras and Hamiltonian PDE2306.09709v2 · Alberto De Sole, Victor G. Kac, Daniele Valeri2023 · 0 citationsarXiv
Non-Archimedean Vertex Algebras2304.09651v1 · Victor G. Kac2023 · 0 citationsarXiv
Multicomponent KP type hierarchies and their reductions, associated to conjugacy classes of Weyl groups of classical Lie algebras2304.05737v1 · Victor Kac, Johan van de Leur2023 · 22 citationsarXiv
A Lie conformal superalgebra and duality of representations for E(4,4)2303.17450v1 · Nicoletta Cantarini, Fabrizio Caselli, Victor Kac2023 · 2 citationsarXiv
Defining relations for minimal unitary quantum affine W-algebras2302.05269v3 · Drazen Adamovi'c, Victor .G. Kac, Pierluigi Moseneder Frajria et al.2023 · 2 citationsComm. Math. Phys. 405 (2024), no. 2, Paper No. 33
The generalized Giambelli formula and polynomial KP and CKP tau-functions2211.17197v2 · Victor Kac, Johan van de Leur2022 · 8 citationsarXiv
Orbifolds of Lattice Vertex Algebras2210.11936v1 · Bojko Bakalov, Jason Elsinger, Victor G. Kac et al.2022 · 2 citationsJpn. J. Math. 18, 169-274 (2023)
Subregular nilpotent orbits and explicit character formulas for modules over affine Lie algebras2209.08865v3 · Roman Bezrukavnikov, Victor Kac, Vasily Krylov2022 · 3 citationsPure and Applied Mathematics Quarterly Volume 20, No. 1 (2024) Pure and Applied Mathematics Quarterly, Volume 20, No. 1 (2024) (Special Issue dedicated to Corrado De Concini)
Unitarity of minimal -algebras and their representations I2208.02101v4 · Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi2022 · 5 citationsCommun. Math. Phys. 401, 79-145 (2023)
Adler-Oevel-Ragnisco type operators and Poisson vertex algebras2208.00154v1 · Alberto De Sole, Victor G. Kac, Daniele Valeri2022 · 2 citationsarXiv
On free field realization of quantum affine -algebras2110.15476v1 · Victor G. Kac, Minoru Wakimoto2021 · 3 citationsarXiv
Ernest Borisovich Vinberg2108.02544v1 · D.V. Alekseevsky, M.V. Belolipetsky, S.G. Gindikin et al.2021 · 0 citationsarXiv
On Lax operators2107.07280v2 · Alberto De Sole, Victor G. Kac, Daniele Valeri2021 · 0 citationsarXiv
Normal forms of nilpotent elements in semisimple Lie algebras2103.00261v4 · Mamuka Jibladze, Victor G. Kac2021 · 0 citationsarXiv
Classical and variational Poisson cohomology2101.10939v1 · Bojko Bakalov, Alberto De Sole, Reimundo Heluani et al.2021 · 4 citationsJpn. J. Math. 16, 203-246 (2021)
Unitarity of minimal -algebras2012.14643v2 · Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi2020 · 0 citationsComm. Math. Phys. 401 (2023), no. 1, 79-145
Integrable triples in semisimple Lie algebras2012.12913v2 · Alberto De Sole, Mamuka Jibladze, Victor G. Kac et al.2020 · 3 citationsarXiv
Invariant Hermitian forms on vertex algebras2008.13178v2 · Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi2020 · 10 citationsCommun. Contemp. Math. 24 (2022), no. 5, Paper No. 2150059
Classification of degenerate Verma modules for E(5,10)2008.00721v1 · Nicoletta Cantarini, Fabrizio Caselli, Victor Kac2020 · 5 citationsarXiv
Integrability of classical affine W-algebras2007.01244v2 · Alberto De Sole, Mamuka Jibladze, Victor G. Kac et al.2020 · 7 citationsarXiv
Polynomial Tau-functions of the KP, BKP, and the s-Component KP Hierarchies2005.02665v2 · Victor G. Kac, Natasha Rozhkovskaya, Johan van de Leur2020 · 28 citationsarXiv
Lie conformal superalgebras and duality of modules over linearly compact Lie superalgebras2003.01015v2 · Nicoletta Cantarini, Fabrizio Caselli, Victor Kac2020 · 9 citationsAdvances in Mathematics, Vol 378, 2021, 107523
Computation of cohomology of vertex algebras2002.03612v2 · Bojko Bakalov, Alberto De Sole, Victor G. Kac2020 · 10 citationsarXiv
Irreducible modules over finite simple Lie pseudoalgebras III. Primitive pseudoalgebras of type H2001.04104v1 · Bojko Bakalov, Alessandro D'Andrea, Victor G. Kac2020 · 8 citationsAdv. Math. 392 (2021), 107963
Yangians vs minimal W-algebras: a surprizing coincidence1912.07404v2 · Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi2019 · 0 citationsCommun. Contemp. Math. 23 (2021), no. 4, 2050036
p-reduced multicomponent KP hierarchy and classical W-algebras W(gl_N,p)1909.03301v2 · Sylvain Carpentier, Alberto De Sole, Victor G. Kac et al.2019 · 10 citationsarXiv
On complexity of representations of quivers1908.10157v2 · Victor G. Kac2019 · 1 citationarXiv
Semisimple cyclic elements in semisimple Lie algebras1907.09170v3 · A. G. Elashvili, M. Jibladze, V. G. Kac2019 · 2 citationsarXiv
Poisson vertex algebra cohomology and differential Harrison cohomology1907.06934v1 · Bojko Bakalov, Alberto De Sole, Victor G. Kac et al.2019 · 2 citationsarXiv
On the structure of quantum vertex algebras1906.05051v1 · Alberto De Sole, Matteo Gardini, Victor G. Kac2019 · 9 citationsarXiv
Computation of cohomology of Lie conformal and Poisson vertex algebras1903.12059v2 · Bojko Bakalov, Alberto De Sole, Victor G. Kac2019 · 10 citationsSel. Math. New Ser. 26, article 50 (2020)
Polynomial tau-functions for the multi-component KP hierarchy1901.07763v2 · Victor Kac, Johan van de Leur2019 · 15 citationsarXiv
Chiral vs classical operad1812.05972v2 · Bojko Bakalov, Alberto De Sole, Reimundo Heluani et al.2018 · 8 citationsIMRN, vol. 2020, issue 19, pp. 6463-6488
Polynomial tau-functions of BKP and DKP hierarchies1811.08733v1 · Victor Kac, Johan van de Leur2018 · 28 citationsarXiv
Trace functions of the Parafermion vertex operator algebras1810.04790v1 · Chongying Dong, Victor G. Kac, Li Ren2018 · 5 citationsarXiv
Local and non-local multiplicative Poisson vertex algebras and differential-difference equations1809.01735v1 · Alberto De Sole, Victor G. Kac, Daniele Valeri et al.2018 · 10 citationsarXiv
An operadic approach to vertex algebra and Poisson vertex algebra cohomology1806.08754v2 · Bojko Bakalov, Alberto De Sole, Reimundo Heluani et al.2018 · 15 citationsJpn. J. Math. 14, 249-342 (2019)
Career total: 476 works. 164 are in this corpus.Showing the 50 most recent.
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