DIFFERENTIAL OPERATORS ON AND THE AFFINE GRASSMANNIAN

DOI10.1017/S1474748014000085zbMath1346.14053arXiv1306.6754OpenAlexW2963093108MaRDI QIDQ5261663

Simon Riche, Victor Ginzburg

Publication date: 6 July 2015

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.6754

zbMATH Keywords

Verma modulesdifferential operatorsequivariant cohomologyaffine GrassmannianLanglands dual group

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Grassmannians, Schubert varieties, flag manifolds (14M15) Classical groups (algebro-geometric aspects) (14L35) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (8)

Symplectic and Hyperkähler Implosion ⋮ Differential operators on \(G/U\) and the Gelfand-Graev action ⋮ A categorical approach to dynamical quantum groups ⋮ A multiplicative analogue of complex symplectic implosion ⋮ Notes on the Geometric Satake Equivalence ⋮ Orthosymplectic implosions ⋮ Kostant section, universal centralizer, and a modular derived Satake equivalence ⋮ A new Weyl group action related to the quasi-classical Gelfand-Graev action

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