Integrable crystals and restriction to Levi subgroups via generalized slices in the affine Grassmannian

DOI10.1007/s10688-018-0217-4zbMath1423.14086OpenAlexW2963184139WikidataQ129546356 ScholiaQ129546356MaRDI QIDQ1791748

V. V. Krylov

Publication date: 11 October 2018

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-018-0217-4

zbMATH Keywords

geometric Satake isomorphismaffine Grassmanniangeneralized slicesKashiwara crystals

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Geometric Langlands program (algebro-geometric aspects) (14D24)

Related Items (8)

Symplectic resolutions, symplectic duality, and Coulomb branches ⋮ BFN Springer theory ⋮ Towards geometric Satake correspondence for Kac-Moody algebras --- Cherkis bow varieties and affine Lie algebras of type $A$ ⋮ Lie algebra actions on module categories for truncated shifted yangians ⋮ Enveloping algebras and geometric representation theory. Abstracts from the workshop held October 31 -- November 6, 2021 (hybrid meeting) ⋮ Almost dominant generalized slices and convolution diagrams over them ⋮ Crystal bases and three-dimensional \(\mathcal{N} = 4\) Coulomb branches ⋮ Hamiltonian reduction for affine Grassmannian slices and truncated shifted Yangians

Cites Work

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• Hyperbolic localization of intersection cohomology
• Comultiplication for shifted Yangians and quantum open Toda lattice
• Kazhdan-Lusztig conjecture for affine Lie algebras with negative level
• Sheaves on a loop group and Langlands duality
• Crystals via the affine Grassmannian
• Intersection cohomology of Drinfeld's compactifications
• Geometric Langlands duality and representations of algebraic groups over commutative rings
• Affine Gindikin–Karpelevich Formula via Uhlenbeck Spaces
• Semiinfinite Flags. I. Case of global curve $P^1$

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