Translated simple modules for Lie algebras and simple supermodules for Lie superalgebras

DOI10.1007/s00209-020-02510-yzbMath1486.17012arXiv1807.03834OpenAlexW3015635495MaRDI QIDQ2223508

Kevin Coulembier, Volodymyr Mazorchuk, Chih-Whi Chen

Publication date: 29 January 2021

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.03834

zbMATH Keywords

simple moduletensor productsoclesimple Lie superalgebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Exceptional (super)algebras (17B25) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (9)

LIE ALGEBRA MODULES WHICH ARE LOCALLY FINITE AND WITH FINITE MULTIPLICITIES OVER THE SEMISIMPLE PART ⋮ Whittaker categories of quasi-reductive lie superalgebras and quantum symmetric pairs ⋮ Whittaker categories, properly stratified categories and Fock space categorification for Lie superalgebras ⋮ On finite-dimensional representations of finite \(W\)-superalgebras ⋮ Simple modules over the Takiff Lie algebra for sl2 ⋮ Parabolic category for periplectic Lie superalgebras ⋮ Simple supermodules over Lie superalgebras ⋮ Whittaker modules for classical Lie superalgebras ⋮ SOME HOMOLOGICAL PROPERTIES OF CATEGORY FOR LIE SUPERALGEBRAS

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