Pseudo-Permutations II: Geometry and Representation Theory
Boulier, François ; Hivert, Florent ; Krob, Daniel ; Novelli, Jean-Christophe
HAL, hal-01182979 / Harvested from HAL
Text on HAL
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.
Publié le : 2001-07-04
Classification:  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] 
@article{hal-01182979,
     author = {Boulier, Fran\c cois and Hivert, Florent and Krob, Daniel and Novelli, Jean-Christophe},
     title = {Pseudo-Permutations II: Geometry and Representation Theory},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01182979}
}

Boulier, François; Hivert, Florent; Krob, Daniel; Novelli, Jean-Christophe. Pseudo-Permutations II: Geometry and Representation Theory. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-01182979/