``Lagrangian construction for representations of Hecke algebras

DOI10.1016/0001-8708(87)90064-8zbMath0625.22012OpenAlexW2041143398MaRDI QIDQ579442

Victor Ginzburg

Publication date: 1987

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(87)90064-8

zbMATH Keywords

nilpotent elementBorel subgroupscomplex semisimple Lie groupaffine Hecke algebraequivariant K-grouptopological K-functor

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Topological (K)-theory (55N15)

Related Items (14)

Characteristic varieties and vanishing cycles ⋮ Proof of the Deligne-Langlands conjecture for Hecke algebras ⋮ Hodge modules, equivariant \(K\)-theory and Hecke algebras ⋮ Equivariant K-theory approach to \(\imath\)-quantum groups ⋮ Kazhdan-Lusztig basis and a geometric filtration of an affine Hecke algebra. II. ⋮ A class of perverse sheaves on framed representation varieties of the Jordan quiver ⋮ Cuspidal local systems and graded Hecke algebras. I ⋮ On the combinatorics of unramified admissible modules ⋮ The based ring of the lowest two-sided cell of an affine Weyl group. III ⋮ On the Involutivity of the Characteristic Variety ⋮ Geometric braid group action on derived categories of coherent sheaves ⋮ Diagram algebras, Hecke algebras and decomposition numbers at roots of unity ⋮ Modules over convolution algebras from equivariant derived categories. I ⋮ Bases in equivariant 𝐾-theory

Cites Work

• On modules over the Hecke algebra of a p-adic group
• Characteristic varieties and vanishing cycles
• \({\mathfrak G}\)-module, Springer's representations and bivariant Chern classes
• Riemann-Roch and topological K-theory for singular varieties
• p-adic analog of the Kazhdan-Lusztig hypothesis
• Equivariant K-theory
• Some Examples of Square Integrable Representations of Semisimple p-Adic Groups
• Categorical framework for the study of singular spaces
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