Description of costandard modules for Schur superalgebra S (2 | 2) in positive characteristic

A. N. Grishkov; F. Marko

doi:10.1142/S021949881850038X

Description of costandard modules for Schur superalgebra S (2 | 2) in positive characteristic

A. N. Grishkov, F. Marko

Penn State Hazleton

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

1 Scopus citations

Abstract

In this paper, we shall describe costandard modules ∇ (γ ) of restricted highest weight ∇ for Schur superalgebra S(2|2) over an algebraically closed field K of positive characteristic p > 2. Additionally, for a restricted highest weight γ , we determine all composition factors of the costandard module ∇ (γ ); in particular we compute the decomposition numbers in the process of the modular reduction of a simple module with a restricted highest weight.

Original language	English (US)
Article number	1850038
Journal	Journal of Algebra and its Applications
Volume	17
Issue number	2
DOIs	https://doi.org/10.1142/S021949881850038X
State	Published - Feb 1 2018

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Applied Mathematics

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10.1142/S021949881850038X

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Description of costandard modules for Schur superalgebra S (2 | 2) in positive characteristic

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