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Pairs of matrices that preserve the value of a generalized matrix function on the set of the upper triangular matrices
Authors:Rosá  rio Fernandes
Affiliation:a Departamento de Matemática da Universidade da Beira Interior, Rua Marquês D’Avila e Bolama, 6201-001 Covilhã, Portugal
b Departamento de Matemática, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Caparica, Portugal
Abstract:Let H be a subgroup of the symmetric group of degree m and let χ be an irreducible character of H. In this paper we give conditions that characterize the pairs of matrices that leave invariant the value of a generalized matrix function associated with H and χ, on the set of the upper triangular matrices.
Keywords:15A69
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