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arXiv · 1110.1689

Notes on partial conjugation

Chuying Fang·Xuhua He
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Abstract

In this notes, we will give an exposition of some results on the method of partial conjugation action. We first discuss the partial conjugation action of a parabolic subgroup of a Coxeter group. We then discuss some applications to Lusztig's $G$-stable pieces and its affine generalization. We also discuss some recent work on the $\s$-conjugacy classes of loop groups and affine Deligne-Lusztig varieties.

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Chuying Fang, Xuhua He. 2011-10-08. Notes on partial conjugation. https://arxiv.org/abs/1110.1689

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