Notes on partial conjugation

Details Notes on partial conjugation Notes on partial conjugation

2011-10-08

arxiv.org/abs/1110.1689v1

Mathematics

Representation Theory

11 pages. To appear in ICCM 2010 proceeding

Scientific paper

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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