DMTCS Proceedings, Discrete Models: Combinatorics, Computation, and Geometry, DM-CCG 2001

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DMTCS Conference vol AA (2001), pp. 123-132

DMTCS

Discrete Models: Combinatorics, Computation, and Geometry, DM-CCG 2001

Robert Cori and Jacques Mazoyer and Michel Morvan and Rémy Mosseri (eds.)

DMTCS Conference Volume AA (2001), pp. 123-132


author: François Boulier, Florent Hivert, Daniel Krob and Jean-Christophe Novelli
title: Pseudo-Permutations II: Geometry and Representation Theory
keywords: Hyperplane Arrangements, Symmetric Group, Permutations, q-analogs
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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reference: François Boulier and Florent Hivert and Daniel Krob and Jean-Christophe Novelli (2001), Pseudo-Permutations II: Geometry and Representation Theory, in Discrete Models: Combinatorics, Computation, and Geometry, DM-CCG 2001, Robert Cori and Jacques Mazoyer and Michel Morvan and Rémy Mosseri (eds.), Discrete Mathematics and Theoretical Computer Science Proceedings AA, pp. 123-132
bibtex: For a corresponding BibTeX entry, please consider our BibTeX-file.
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