Intersection cohomology of \(B\times B\)-orbit closures in group compactifications.

DOI10.1016/S0021-8693(02)00515-XzbMath1110.14047MaRDI QIDQ1858270

T. A. Springer

Publication date: 12 February 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43)

Related Items

An extension of Bruhat's lemma. ⋮ The character sheaves on the group compactification. ⋮ Cohomologie des fibrés en droites sur les compactifications des groupes réductifs ⋮ Standard monomials for wonderful group compactifications. ⋮ Character sheaves on the semi-stable locus of a group compactification. ⋮ Normality and Cohen-Macaulayness of local models of Shimura varieties ⋮ Generalized moment graphs and the equivariant intersection cohomology of BXB-orbit closures in the wonderful compactification of a group ⋮ The \(H\)-polynomial of an irreducible representation. ⋮ Generic Hecke algebra for Renner monoids. ⋮ Geometry of \(B\times B\)-orbit closures in equivariant embeddings ⋮ Frobenius splitting and geometry of \(G\)-Schubert varieties ⋮ Bruhat-Chevalley order in reductive monoids. ⋮ Unipotent variety in the group compactification. ⋮ The Maximal Chains of the Extended Bruhat Orders on the  × -Orbits of an Infinite Renner Monoid ⋮ On the combinatorics of \(B\times B\)-orbits on group compactifications ⋮ Poisson structures on affine spaces and flag varieties. II ⋮ On the variety of Lagrangian subalgebras, II ⋮ The 𝐺-stable pieces of the wonderful compactification

Cites Work

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• Singularities of closures of K-orbits on flag manifolds
• The Bruhat order on symmetric varieties
• Representations of Coxeter groups and Hecke algebras
• Compactification of symmetric varieties
• Rational smoothness and fixed points of torus actions
• The behavior at infinity of the Bruhat decomposition
• On the set of orbits for a Borel subgroup
• Complements à l'article: Groupes reductifs
• Towards the Kazhdan-Lusztig conjecture
• Vanishing of odd dimensional intersection cohomology. II