Topology of intersections of Schubert cells and Hecke algebra
type: Item
instance of: scholarly article
title: Topology of intersections of Schubert cells and Hecke algebra
zbMATH Open document ID: 0861.14046
DOI: 10.1016/0012-365X(95)00144-L
author: Alek Vainshtein
author: Boris Shapiro
author: Michael Shapiro
published in: Discrete Mathematics
publication date: 1997-05-21T00:00:00Z
review text: The authors consider intersections of Schubert cells of a special form in the space of complete flags \(F\). They obtain such a decomposition of \(F\) which subdivides all such intersections into strata of a simple form. It enables them to establish a new geometrical interpretation of the structure constants for the corresponding sums of the Hodge numbers for the mixed Hodge structure in the cohomology with compact supports of the above intersections.
Mathematics Subject Classification ID: 14M15
Mathematics Subject Classification ID: 14D07
Mathematics Subject Classification ID: 14C30
Mathematics Subject Classification ID: 58A14
zbMATH DE Number: 897612
zbMATH Keywords: intersections of Schubert cells
zbMATH Keywords: complete flags
zbMATH Keywords: Hodge numbers
zbMATH Keywords: mixed Hodge structure
reviewed by: Valeriy B. Mnukhin
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 897612