Characters and orthogonality in Frobenius algebras

Timothy V. Fossum

Vol. 36 (1971), No. 1, 123–131

DOI: 10.2140/pjm.1971.36.123

Abstract

Matrix-theoretical proofs of orthogonality relations for the coefficients of representations of Frobenius algebras have been extensively developed in the literature. This paper has grown out of a desire to prove some of these orthogonality relations in a matrix-free, module-theoretic manner. Most of the attention is focused on characters, even though some of the results diverge from this restriction.

Mathematical Subject Classification

Primary: 16.40

Secondary: 20.00

Milestones

Received: 14 November 1969

Published: 1 January 1971