Distinguished conjugacy classes and elliptic Weyl group elements

Lusztig, G.

doi:10.1090/S1088-4165-2014-00455-2

Distinguished conjugacy classes and elliptic Weyl group elements
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Represent. Theory 18 (2014), 223-277 Request permission

Abstract:

We define and study a correspondence between the set of distinguished $G^0$-conjugacy classes in a fixed connected component of a reductive group $G$ (with $G^0$ almost simple) and the set of (twisted) elliptic conjugacy classes in the Weyl group. We also prove a homogeneity property related to this correspondence.

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