Kazhdan and Lusztig have shown how to partition a Coxeter group into cells. In this paper, we use the theory of Vogan classes to obtain a first characterisation of the left cells of type with respect to a certain choice of weight function.
Revised: 2019-03-06
Accepted: 2019-03-14
Published online: 2019-12-04
DOI: https://doi.org/10.5802/alco.74
Keywords: Coxeter groups, Iwahori–Hecke algebras, Kazhdan–Lusztig cells
@article{ALCO_2019__2_6_1033_0, author = {Howse, Edmund}, title = {Vogan classes in type $B\_n$}, journal = {Algebraic Combinatorics}, pages = {1033--1057}, publisher = {MathOA foundation}, volume = {2}, number = {6}, year = {2019}, doi = {10.5802/alco.74}, mrnumber = {4049837}, zbl = {1428.05324}, language = {en}, url = {alco.centre-mersenne.org/item/ALCO_2019__2_6_1033_0/} }
Howse, Edmund. Vogan classes in type $B_n$. Algebraic Combinatorics, Volume 2 (2019) no. 6, pp. 1033-1057. doi : 10.5802/alco.74. https://alco.centre-mersenne.org/item/ALCO_2019__2_6_1033_0/
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