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- W2089997493 abstract "According to an old result of Schutzenberger, the involutions in a given two-sided cell of the symmetric group $SG_n$ are all conjugate. In this paper, we study possible generalisations of this property to other types of Coxeter groups. We show that Schutzenberger's result is a special case of a general result on smooth two-sided cells. Furthermore, we consider Kottwitz' 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; combined with previous work, this leaves type $E_8$ as the only remaining open case." @default.
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- W2089997493 date "2012-05-18" @default.
- W2089997493 modified "2023-10-18" @default.
- W2089997493 title "Conjugacy classes of involutions and Kazhdan-Lusztig cells" @default.
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