The Kac-Wakimoto character formula for the general linear Lie superalgebra

DOI10.2140/ant.2015.9.1419zbMath1362.17011arXiv1310.3798OpenAlexW3101362324WikidataQ115231076 ScholiaQ115231076MaRDI QIDQ500227

Crystal Hoyt, Shifra Reif, Michael Chmutov

Publication date: 1 October 2015

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.3798

zbMATH Keywords

Lie superalgebrasKazhdan-Lusztig polynomialstame modulescharacter formulas

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (7)

Finite-dimensional half-integer weight modules over queer Lie superalgebras ⋮ Mixed tensors of the general linear supergroup ⋮ Candidate for the crystal \(B(-\infty)\) for the queer Lie superalgebra ⋮ Gruson-Serganova character formulas and the Duflo-Serganova cohomology functor ⋮ Quantum group of type \(A\) and representations of queer Lie superalgebra ⋮ A Weyl-Type character formula for PDC modules of gl(m|n) ⋮ Characters of (relatively) integrable modules over affine Lie superalgebras

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