Projective Schur algebras as class algebras

Eunmi Choi; Heisook Lee

Article

HOME

ALL ARTICLES

View

Bull. Korean Math. Soc. 2001; 38(4): 803-814

Printed December 1, 2001

Projective Schur algebras as class algebras

Eunmi Choi and Heisook Lee

Han Nam University, Ewha Womans University

Abstract

Go to

Abstract

A projective Schur algebra associated with a partition of finite group $G$ can be constructed explicitly by defining linear transformations of $G$. We will consider various linear transformations and count the number of equivalent classes in a finite group. Then we construct projective Schur algebra whose dimension is determined by the number of classes.

Keywords: group algebra, Schur algebra, class algebra

MSC numbers: 16H05, 16P99