Pseudo-Permutations II: Geometry and Representation TheoryReport as inadecuate

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1 LIFL - Laboratoire d-Informatique Fondamentale de Lille 2 LIGM - Laboratoire d-Informatique Gaspard-Monge 3 LIAFA - Laboratoire d-informatique Algorithmique : Fondements et Applications

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.

Keywords : Hyperplane Arrangements Symmetric Group Permutations q-analogs

Author: François Boulier - Florent Hivert - Daniel Krob - Jean-Christophe Novelli -



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