On decomposition of Bott-Samelson sheaves

JOURNAL OF ALGEBRA

卷:406

Article

Shchigolev, Vladimir

关键词: Lusztig's conjecture;    Moment graphs;    Intersection cohomology;    Braden-MacPherson sheaves;   

DOI  :  10.1016/j.jalgebra.2014.02.028

来源: Elsevier

【 摘 要 】

We give an exact algorithm to calculate (under some GKM-restriction) the matrix describing the embedding B(s)(x) subset of B(s)(x), where the first module is the costalk and the second one is the stalk at x of a Bott-Samelson module (sheaf) B(s). This allows us to calculate the first few terms of the decomposition of B(s) into a sum of indecomposable modules (sheaves) and to calculate the characters of Braden-MacPherson sheaves in some previously unknown cases. (C) 2014 Published by Elsevier Inc.

【 授权许可】

Free