Irreducible constituents of monomial representations |
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Authors: | Andrea Previtali |
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Affiliation: | aDipartimento di Fisica e Matematica, Università dell’Insubria, Via Valleggio, 11 Como–22100, Italy |
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Abstract: | We describe an algorithm for obtaining the central primitive idempotents of the algebra associated with a monomial representation. As a consequence, we obtain its irreducible constituents. This is implemented in Magma, using an algorithm based on Dixon’s modular approach. In the case of permutation representations, we get a simplified version of the algorithms of Michler and Weller. |
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Keywords: | Ordinary representations and characters Computational methods Symbolic computation, algebraic computation |
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