[Cellules de Calogero-Moser des groupes diédraux à paramètres égaux]
Nous montrons que les cellules de Calogero-Moser coïncident avec les cellules de Kazhdan-Lusztig pour les groupes diédraux dans le cas des paramètres égaux.
We prove that Calogero–Moser cells coincide with Kazhdan–Lusztig cells for dihedral groups in the equal parameter case.
Keywords: Calogero–Moser cells, dihedral groups
Mot clés : Cellules de Calogero–Moser, groupes diédraux
Cédric Bonnafé 1 ; Jérôme Germoni 2
@article{AMBP_2022__29_2_187_0, author = {C\'edric Bonnaf\'e and J\'er\^ome Germoni}, title = {Calogero{\textendash}Moser cells of dihedral groups at equal parameters}, journal = {Annales math\'ematiques Blaise Pascal}, pages = {187--208}, publisher = {Universit\'e Clermont Auvergne, Laboratoire de math\'ematiques Blaise Pascal}, volume = {29}, number = {2}, year = {2022}, doi = {10.5802/ambp.410}, language = {en}, url = {https://ambp.centre-mersenne.org/articles/10.5802/ambp.410/} }
TY - JOUR AU - Cédric Bonnafé AU - Jérôme Germoni TI - Calogero–Moser cells of dihedral groups at equal parameters JO - Annales mathématiques Blaise Pascal PY - 2022 SP - 187 EP - 208 VL - 29 IS - 2 PB - Université Clermont Auvergne, Laboratoire de mathématiques Blaise Pascal UR - https://ambp.centre-mersenne.org/articles/10.5802/ambp.410/ DO - 10.5802/ambp.410 LA - en ID - AMBP_2022__29_2_187_0 ER -
%0 Journal Article %A Cédric Bonnafé %A Jérôme Germoni %T Calogero–Moser cells of dihedral groups at equal parameters %J Annales mathématiques Blaise Pascal %D 2022 %P 187-208 %V 29 %N 2 %I Université Clermont Auvergne, Laboratoire de mathématiques Blaise Pascal %U https://ambp.centre-mersenne.org/articles/10.5802/ambp.410/ %R 10.5802/ambp.410 %G en %F AMBP_2022__29_2_187_0
Cédric Bonnafé; Jérôme Germoni. Calogero–Moser cells of dihedral groups at equal parameters. Annales mathématiques Blaise Pascal, Tome 29 (2022) no. 2, pp. 187-208. doi : 10.5802/ambp.410. https://ambp.centre-mersenne.org/articles/10.5802/ambp.410/
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