The modular representations of basic classical restricted Lie superalgebras
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Published:2023-12-02
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Volume:
Page:
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ISSN:0219-4988
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Container-title:Journal of Algebra and Its Applications
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language:en
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Short-container-title:J. Algebra Appl.
Affiliation:
1. School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, Shanghai 201620, P. R. China
Abstract
Let [Formula: see text] be a basic classical restricted Lie superalgebras over an algebraically closed field [Formula: see text] of odd characteristic [Formula: see text], and [Formula: see text] be the restricted enveloping algebra of [Formula: see text]. The purpose of this paper is to study the representations of [Formula: see text]. First, we prove a [Formula: see text]-module [Formula: see text] is projective if and only if it has both a baby Verma module filtration and a twist baby Verma module filtration. Second, we get the Humphreys–Brauer type reciprocity on projective module, baby Verma module and irreducible module.
Funder
National Natural Science Foundation of China
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Algebra and Number Theory