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Conference Papers Discrete Mathematics and Theoretical Computer Science Year : 2001

Pseudo-Permutations II: Geometry and Representation Theory

Abstract

In this paper, we provide the second part of the study of the pseudo-permutations. We first derive a complete analysis of the pseudo-permutations, based on hyperplane arrangements, generalizing the usual way of translating the permutations. We then study the module of the pseudo-permutations over the symmetric group and provide the characteristics of this action.
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Dates and versions

hal-01182979 , version 1 (06-08-2015)

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François Boulier, Florent Hivert, Daniel Krob, Jean-Christophe Novelli. Pseudo-Permutations II: Geometry and Representation Theory. Discrete Models: Combinatorics, Computation, and Geometry, DM-CCG 2001, 2001, Paris, France. pp.123-132, ⟨10.46298/dmtcs.2299⟩. ⟨hal-01182979⟩
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