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arXiv · 1201.1396

On decomposition of Bott-Samelson sheaves

Vladimir Shchigolev
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Abstract

We give an exact algorithm to calculate (under some GKM-restriction) the matrix describing the embedding $\B(\s)_x\subset\B(\s)^x$, 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.

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BibTeXRIS

Vladimir Shchigolev. 2012-01-10. On decomposition of Bott-Samelson sheaves. https://arxiv.org/abs/1201.1396

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