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DESCRIPTION OF SIMPLE MODULES FOR SCHUR SUPERALGEBRA S(2|2)

Published online by Cambridge University Press:  25 February 2013

A. N. GRISHKOV  and
F. MARKO
A. N. GRISHKOV
Affiliation:
Departamento de Matematica, Universidade de Sao Paulo, Caixa Postal 66281, 05315-970, Sõ Paulo, Brazil e-mail: shuragri@gmail.com
F. MARKO
Affiliation:
Department of Mathematics, Penn State Hazleton, 76 University Drive, Hazleton, PA 18202, USA e-mail: fxm13@psu.edu
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Abstract

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The goal of this paper is to describe explicitly simple modules for Schur superalgebra S(2|2) over an algebraically closed field K of characteristic zero or positive characteristic p>2.

Keywords

17A7020G0515A7213A5005E15
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 55 , Issue 3 , September 2013 , pp. 695 - 719
Copyright
Copyright © Glasgow Mathematical Journal Trust 2013 

References

REFERENCES

1.Berele, A. and Regev, A., Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras, Adv. Math. 64 (1987), 118–175.Google Scholar
2.Brundan, J. and Kleshchev, A., On translation functors for general linear and symmetric groups, Proc. Lond. Math. Soc. 80 (3) (2000), 75–106.Google Scholar
3.Brundan, J. and Kujawa, J., A new proof of the Mullineux conjecture, J. Algebr. Combin. 18 (2003), 13–39.Google Scholar
4.Grishov, A. N., Marko, F. and Zubkov, A. N., Description of costandard modules for Schur superalgebra S(2|1) in positive characteristic, Linear Multilinear Algebra 59 (1) (2011), 57–64.CrossRefGoogle Scholar
5.Kujawa, J., The Steinberg tensor product theorem for GL(m|n), Contemp. Math. 413 (2006), 123–132.Google Scholar
6.La Scala, R. and Zubkov, A. N., Costandard modules over Schur superalgebras in characteristic p, J. Algebra Appl. 7 (2) (2008), 147–166.Google Scholar
7.Marko, F., Description of costandard modules of Schur superalgebra S(3|1), Comm. Algebra (to appear). doi:10.1080/00927872.2012.660263.Google Scholar
8.Zubkov, A. N., Some properties of general linear supergroups and of Schur superalgebras, Algebra Logic 45 (3) (2006), 147–171.Google Scholar