Vogan classes in type $B_n$

Howse, Edmund

Algebraic Combinatorics, Tome 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.

Mots clés : Coxeter groups, Iwahori–Hecke algebras, Kazhdan–Lusztig cells

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