Vogan classes in type B_n

2017/09/07 by Edmund Howse, Howse, Edmund
Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1709.02061

29 pages, significant revisions

arxiv created 2018/08/03 · arxiv updated 2018/08/06

Abstract

Consider a weighted Coxeter system (W,S,\mathscrL). Via its associated Iwahori-Hecke algebra, we may determine the partition of W into Kazhdan-Lusztig cells. In this paper, we use the theory of Vogan classes introduced by Bonnafé--Geck to obtain a combinatorial description of the left cells of type B_n when the ratio of the weights of the first to second generator is n-1. We further give information on the left cells when this ratio lies in the interval (n-2,n-1).

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