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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/3175

Title: Applications of Frobenius algebras to representation theory of schur algebras
Authors: DELVAUX, Lydia
NAUWELAERTS, Erna
Issue Date: 1998
Publisher: ACADEMIC PRESS INC
Citation: JOURNAL OF ALGEBRA, 199(2). p. 591-617
Abstract: A Schur algebra is a subalgebra of the group algebra RG associated to a partition of G, where G is a finite group and R is a commutative ring. For two classes of Schur algebras we study the relationship between indecomposable modules over the Schur algebra and over RG, but we discuss this problem in a more general context. Further we develop a character theory for Schur algebras; in particular, we express primitive central idempotents in terms of trace functions and we derive orthogonality relations for trace functions. These results are also presented in a more general context, namely for Frobenius algebras over rings. Moreover. we focus an class functions on Schur algebras. (C) 1998 Academic Press.
Notes: Limburgs Univ Ctr, Dept Math, B-3590 Diepenbeek, Belgium.Delvaux, L, Limburgs Univ Ctr, Dept Math, B-3590 Diepenbeek, Belgium.
URI: http://hdl.handle.net/1942/3175
DOI: 10.1006/jabr.1997.7201
ISI #: 000071511400012
ISSN: 0021-8693
Type: Journal Contribution
Validation: ecoom, 1999
Appears in Collections: Research publications

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