Notes on affine canonical and monomial bases
表示论
2007-05-23 v2 量子代数
摘要
We investigate the affine canonical basis and the monomial basis constructed in [LXZ] in Lusztig's geometric setting. We show that the transition matrix between the two bases is upper triangular with 1's in the diagonal and coefficients in the upper diagonal entries in N[v, v^{-1}]. As a consequence, we show that part of the monomial basis elements give rise to resolutions of support varieties of the affine canonical basis elements as simple perverse sheaves.
引用
@article{arxiv.math/0610449,
title = {Notes on affine canonical and monomial bases},
author = {Yiqiang Li},
journal= {arXiv preprint arXiv:math/0610449},
year = {2007}
}
备注
24 pages. Title changed. The relation with Nakajima's conjecture clarified.