Journal of the
Korean Mathematical Society JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008
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J. Korean Math. Soc. 2002; 39(1): 1-11

Printed January 1, 2002

Copyright © The Korean Mathematical Society.

On some Schur algebras

Eunmi Choi and Heisook Lee

Han Nam University and Ewha Womans University

Abstract

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A Schur algebra was generalized to projective Schur algebra by admitting twisted group algebra. A Schur algebra is a projective Schur algebra with trivial 2-cocycle. In this paper we study situations that Schur algebra is a projective Schur algebra with nontrivial cocycle, and we find a criterion for a projective Schur algebra to be a Schur algebra.

Keywords: group representation, character, Schur and projective Schur algebra

MSC numbers: 16H05, 16P99, 20

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