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

Alexandr N. Zubkov

doi:10.1016/j.jpaa.2015.05.006

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

Alexandr N. Zubkov

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

3 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 language	English
Pages (from-to)	5259-5279
Number of pages	21
Journal	Journal of Pure and Applied Algebra
Volume	219
Issue number	12
DOIs	https://doi.org/10.1016/j.jpaa.2015.05.006
Publication status	Published - Dec 1 2015
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jpaa.2015.05.006

Cite this

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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.",

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AB - 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.

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ER -

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

Abstract

ASJC Scopus subject areas

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