Vogan classes in type B n
Algebraic Combinatorics, Volume 2 (2019) no. 6, pp. 1033-1057.

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 B n with respect to a certain choice of weight function.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/alco.74
Keywords: Coxeter groups, Iwahori–Hecke algebras, Kazhdan–Lusztig cells

Howse, Edmund 1

1 Department of Mathematics National University of Singapore 10 Lower Kent Ridge Road Singapore 119076
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
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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/articles/10.5802/alco.74/

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