Journal of East China Normal University(Natural Science) >

2014 , Vol. 2014 >Issue 6: 1 - 8

DOI: https://doi.org/10.3969/j.issn.1000-5641.2014.06.001

Article

Quantum Schur superalgebras and finite general linear groups

  • CHEN Xiao-Yu ,
  • WANG Jian-Pan
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  • Department of Mathematics, East China Normal University, Shanghai 200241, China

Online published: 2015-02-07

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Abstract

This paper realizes quantum Schur superalgebras as the endomorphism algebras of certain representations of general linear groups
over finite fields, generalizing the relationship between quantum Schur algebras and finite general linear groups established by Beilinson, Lusztig, and MacPherson and described in details in the monograph Finite Dimensional Algebras and Quantum Groups by Deng, Du, Parshall, and Wang.

Key words： quantum Schur superalgebra; finite general linear group; Steinberg representation

Cite this article

CHEN Xiao-Yu , WANG Jian-Pan . Quantum Schur superalgebras and finite general linear groups[J]. Journal of East China Normal University(Natural Science), 2014 , 2014(6) : 1 -8 . DOI: 10.3969/j.issn.1000-5641.2014.06.001

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