Double Affine Hecke Algebras and Affine Flag Manifolds, I

DOI10.1007/978-3-0346-0288-4_9zbMath1242.20007arXivmath/0307047OpenAlexW1613001903MaRDI QIDQ3062220

Eric Vasserot, Michela Varagnolo

Publication date: 3 January 2011

Published in: Affine Flag Manifolds and Principal Bundles (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0307047

zbMATH Keywords

induced modulesdouble affine Hecke algebrasrational Cherednik algebrasdegenerate Hecke algebrassimple modules in category \(\mathcal O\)simple spherical representationsspherical finite-dimensional modules

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Grothendieck groups, (K)-theory, etc. (16E20) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items (8)

Hecke algebras and affine flag varieties in characteristic \(p\) ⋮ Equivariant Matrix Factorizations and Hamiltonian reduction ⋮ Non-commutative resolutions of quotient singularities for reductive groups ⋮ Coulomb branches of quiver gauge theories with symmetrizers ⋮ Introduction to a provisional mathematical definition of Coulomb branches of 3-dimensional 𝒩=4 gauge theories ⋮ A-type quiver varieties and ADHM moduli spaces ⋮ Multiplicative Slices, Relativistic Toda and Shifted Quantum Affine Algebras ⋮ The equivariant Atiyah class

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