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},
publisher = {MathOA foundation},
volume = {2},
number = {6},
year = {2019},
pages = {1033-1057},
doi = {10.5802/alco.74},
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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