English

Notes on partial conjugation

Representation Theory 2011-10-11 v1

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 GG-stable pieces and its affine generalization. We also discuss some recent work on the \s\s-conjugacy classes of loop groups and affine Deligne-Lusztig varieties.

Keywords

Cite

@article{arxiv.1110.1689,
  title  = {Notes on partial conjugation},
  author = {Chuying Fang and Xuhua He},
  journal= {arXiv preprint arXiv:1110.1689},
  year   = {2011}
}

Comments

11 pages. To appear in ICCM 2010 proceeding

R2 v1 2026-06-21T19:17:10.194Z