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Pseudo-Permutations II: Geometry and Representation Theory
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001), DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001) (2001).

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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. 
@article{DMTCS_2001_special_246_a22,
     author = {Boulier, Fran\c{c}ois and Hivert, Florent and Krob, Daniel and Novelli, Jean-Christophe},
     title = {Pseudo-Permutations {II:} {Geometry} and {Representation} {Theory}},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001)},
     year = {2001},
     doi = {10.46298/dmtcs.2299},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2299/}
}
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%V DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001)
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Boulier, François; Hivert, Florent; Krob, Daniel; Novelli, Jean-Christophe. Pseudo-Permutations II: Geometry and Representation Theory. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001), DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001) (2001). doi : 10.46298/dmtcs.2299. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2299/

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