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- Title
CONJUGACY CLASSES OF INVOLUTIONS AND KAZHDANLUSZTIG CELLS.
- Authors
BONNAFÉ, CÉDRIC; GECK, MEINOLF
- Abstract
According to an old result of Schützenberger, the involutions in a given two-sided cell of the symmetric group &n are all conjugate. In this paper, we study possible generalizations of this property to other types of Coxeter groups. We show that Schützenberger's result is a special case of a general result on "smooth" two-sided cells. Furthermore, we consider Kottwitz's conjecture concerning the intersections of conjugacy classes of involutions with the left cells in a finite Coxeter group. Our methods lead to a proof of this conjecture for classical types which, combined with further recent work, settles this conjecture in general.
- Subjects
LEG (The Polish root); BROWNIAN motion; RANDOM walks; NONLINEAR wave equations; TOPOLOGICAL dynamics; LUSZTIG, George; SANCHEZ, Luis Enrique
- Publication
Representation Theory, 2014, Vol 18, Issue 6, p155
- ISSN
1088-4165
- Publication type
Article