Cohomological Tensor Functors on Representations of the General Linear Supergroup

DOI10.1090/memo/1320zbMath1475.17013arXiv1406.0321OpenAlexW3176293462MaRDI QIDQ4995491

Rainer Weissauer, Thorsten Heidersdorf

Publication date: 24 June 2021

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.0321

zbMATH Keywords

supergroupstensor functorDuflo-Serganova functorrepresentations of the general linear supergroup

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Homological methods in Lie (super)algebras (17B55) Simple, semisimple, reductive (super)algebras (17B20) Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras (17-02) Monoidal categories, symmetric monoidal categories (18M05)

Related Items (8)

Superbinomial coefficients ⋮ Duflo-Serganova functor and superdimension formula for the periplectic Lie superalgebra ⋮ Gruson-Serganova character formulas and the Duflo-Serganova cohomology functor ⋮ On the Duflo-Serganova functor for the queer Lie superalgebra ⋮ Localization theorem for homological vector fields ⋮ On supergroups and their semisimplified representation categories ⋮ A Weyl-Type character formula for PDC modules of gl(m|n) ⋮ Semisimplicity of the \textit{DS} functor for the orthosymplectic Lie superalgebra

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