ALGEBRAIC COMBINATORICS

no. 6

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: 2018-04-18
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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