Matrices that preserve the value of the generalized matrix function of the upper triangular matrices

摘要

Let H be a subgroup of the symmetric group S-n and χ an irreducible character of H. In this paper we give conditions that characterize matrices that leave invariant the value of a given generalized matrix function on the set of upper triangular matrices. In some cases we describe completely these matrices. © 2003 Elsevier Inc. All rights reserved.