Simple supermodules over Lie superalgebras

DOI10.1090/tran/8303zbMath1457.17010arXiv1801.00654OpenAlexW3094620623MaRDI QIDQ5143148

Chih-Whi Chen, Volodymyr Mazorchuk

Publication date: 11 January 2021

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

Full work available at URL: https://arxiv.org/abs/1801.00654

zbMATH Keywords

simple modulesLie superalgebrasimple supermodulesKac functor

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30)

Related Items (10)

LIE ALGEBRA MODULES WHICH ARE LOCALLY FINITE AND WITH FINITE MULTIPLICITIES OVER THE SEMISIMPLE PART ⋮ Whittaker categories, properly stratified categories and Fock space categorification for Lie superalgebras ⋮ Bounded weight modules over the Lie superalgebra of Cartan \(W\)-type ⋮ On finite-dimensional representations of finite \(W\)-superalgebras ⋮ Tensor modules over Witt superalgebras ⋮ Kostant's problem for Whittaker modules ⋮ Simple modules over the Takiff Lie algebra for sl2 ⋮ Parabolic category for periplectic Lie superalgebras ⋮ Whittaker modules for classical Lie superalgebras ⋮ SOME HOMOLOGICAL PROPERTIES OF CATEGORY FOR LIE SUPERALGEBRAS

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