François Boulier ; Florent Hivert ; Daniel Krob ; Jean-Christophe Novelli - Pseudo-Permutations II: Geometry and Representation Theory

dmtcs:2299 - Discrete Mathematics & Theoretical Computer Science, January 1, 2001, DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001) - https://doi.org/10.46298/dmtcs.2299
Pseudo-Permutations II: Geometry and Representation Theory

Authors: François Boulier ; Florent Hivert ; Daniel Krob ; Jean-Christophe Novelli

    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.


    Volume: DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001)
    Section: Proceedings
    Published on: January 1, 2001
    Imported on: November 21, 2016
    Keywords: Hyperplane Arrangements,Symmetric Group,Permutations,q-analogs,[INFO] Computer Science [cs],[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO],[INFO.INFO-CG] Computer Science [cs]/Computational Geometry [cs.CG],[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]

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