On decomposition of Bott-Samelson sheaves
Representation Theory
2012-01-11 v2
Abstract
We give an exact algorithm to calculate (under some GKM-restriction) the matrix describing the embedding , where the first module is the costalk and the second one is the stalk at of a Bott-Samelson module (sheaf) . This allows us to calculate the first few terms of the decomposition of into a sum of indecomposable modules (sheaves) and to calculate the characters of Braden--MacPherson sheaves in some previously unknown cases.
Cite
@article{arxiv.1201.1396,
title = {On decomposition of Bott-Samelson sheaves},
author = {Vladimir Shchigolev},
journal= {arXiv preprint arXiv:1201.1396},
year = {2012}
}