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Discrete Mathematics & Theoretical Computer Science |
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.2299Pseudo-Permutations II: Geometry and Representation TheoryArticle
Authors: François Boulier 1; Florent Hivert 
2; Daniel Krob 3; Jean-Christophe Novelli 4,2
- 1 Laboratoire d'Informatique Fondamentale de Lille
- 2 Laboratoire d'Informatique Gaspard-Monge
- 3 Laboratoire d'informatique Algorithmique : Fondements et Applications
- 4 Laboratoire d'Informatique Fondamentale de Lille
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.
Source: HAL:hal-01182979v1
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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