Relations among generalized matrix functions

Russell L. Merris

Vol. 62 (1976), No. 1, 153–161

DOI: 10.2140/pjm.1976.62.153

Abstract

Let G be a permutation group of degree m. Let λ be an irreducible, complex character of G. If A = (a_ij) is an m by m matrix, the generalized matrix function of A corresponding to G and λ is defined by

We obtain relations among generalized matrix functions arising from G and those arising from a subgroup H of G. The methods yield some information about the corresponding symmetry classes of tensors.

Mathematical Subject Classification 2000

Primary: 15A45

Milestones

Received: 23 July 1975

Published: 1 January 1976