## 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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ps-source: | dmAA0108.ps (99 K) |

pdf-source: | dmAA0108.pdf (113 K) |

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