GL(m|n)-supermodules with good and Weyl filtrations

Alexandr N. Zubkov

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

The purpose of this paper is to prove necessary and sufficient criteria for a GL(m|. n)-supermodule to have a good or Weyl filtration. We also introduce the notion of a Steinberg supermodule analogous to the classical notion of Steinberg module. We prove that the Steinberg supermodule inherits some properties of the Steinberg module. Some new series of finite-dimensional tilting supermodules are found.

Original languageEnglish
Pages (from-to)5259-5279
Number of pages21
JournalJournal of Pure and Applied Algebra
Volume219
Issue number12
DOIs
Publication statusPublished - Dec 1 2015
Externally publishedYes

ASJC Scopus subject areas

  • Algebra and Number Theory

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