In this paper, we discuss some partitions of affine flag varieties. These partitions include as special cases the partition of affine flag variety into affine Deligne-Lusztig varieties and the affine analogue of the partition of flag varieties into $\cb_w (b) $ introduced by Lusztig in\cite {L1} as part of the definition of character sheaves.
@inproceedings{xuhua2009on,
title={On some partitions of an affine flag variety},
author={Xuhua He},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221113045296877787},
booktitle={arXiv preprint arXiv:0910.5026},
year={2009},
}
Xuhua He. On some partitions of an affine flag variety. 2009. In arXiv preprint arXiv:0910.5026. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221113045296877787.