Pairs of matrices that preserve the value of a generalized matrix function on the set of the upper triangular matrices |
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Authors: | Rosá rio Fernandes |
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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 |
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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. |
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Keywords: | 15A69 |
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