Some properties of general linear supergroups and of Schur superalgebras

A. N. Zubkov

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)


It is shown that the category of rational supermodules over a general linear supergroup is a highest weight category. More exactly, we construct superanalogs of the theory of modules with good filtration and of the dual theory of modules with Weyl's. Using these, we show that indecomposable injective supermodules have good filtration of a certain kind.

Original languageEnglish
Pages (from-to)147-171
Number of pages25
JournalAlgebra and Logic
Issue number3
Publication statusPublished - May 2006
Externally publishedYes


  • Category
  • Filtration
  • General linear supergroup
  • Indecomposable injective supermodule
  • Schur superalgebra

ASJC Scopus subject areas

  • Analysis
  • Logic


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