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Linear and Multilinear Algebra Volume 59, 2011 - Issue 1
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Original Articles

Description of costandard modules for Schur superalgebra S(2|1) in positive characteristic

A.N. Grishkov Departamento de Matematica, Universidade de Sao Paulo, Caixa Postal 66281, So Paulo 05315-970, Brazil
,
F. Marko Penn State Hazleton, 76 University Drive, Hazleton, PA 18202, USACorrespondence[email protected]
&
A.N. Zubkov Department of Mathematics, Omsk State Pedagogical University, 644099 Omsk-99, Tuhachevskogo Embankment 14, Russia
Pages 57-64 | Received 26 May 2009, Accepted 01 Aug 2009, Published online: 20 Apr 2010
 
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Abstract

We describe the characters of simple modules and composition factors of costandard modules for S(2|1) in positive characteristics and verify a conjecture of La Scala–Zubkov regarding polynomial superinvariants for GL(2|1).

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