Some properties of general linear supergroups and of Schur superalgebras

A. N. Zubkov

doi:10.1007/s10469-006-0014-7

Some properties of general linear supergroups and of Schur superalgebras

A. N. Zubkov

Research output: Contribution to journal › Article › peer-review

23 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	147-171
Number of pages	25
Journal	Algebra and Logic
Volume	45
Issue number	3
DOIs	https://doi.org/10.1007/s10469-006-0014-7
Publication status	Published - May 2006
Externally published	Yes

Keywords

Category
Filtration
General linear supergroup
Indecomposable injective supermodule
Schur superalgebra

ASJC Scopus subject areas

Analysis
Logic

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10.1007/s10469-006-0014-7

Cite this

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AB - 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.

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KW - Filtration

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KW - Indecomposable injective supermodule

KW - Schur superalgebra

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ER -

Some properties of general linear supergroups and of Schur superalgebras

Abstract

Keywords

ASJC Scopus subject areas

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