ℤ/𝕞ℤ-graded Lie algebras and perverse sheaves, III: Graded double affine Hecke algebra

DOI10.1090/ert/515zbMath1451.17010arXiv1607.07916OpenAlexW2964322328WikidataQ115291007 ScholiaQ115291007MaRDI QIDQ4581463

George Lusztig, Zhiwei Yun

Publication date: 20 August 2018

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.07916

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Graded Lie (super)algebras (17B70) Linear algebraic groups over local fields and their integers (20G25)

Related Items (5)

Generalized Springer correspondence for $\mathbf{Z}/m$-graded Lie algebras ⋮ Character sheaves for classical graded Lie algebras ⋮ Character sheaves for graded Lie algebras: stable gradings ⋮ On Jordan classes for Vinberg's \(\theta\)-group ⋮ 𝐙/𝐦-graded Lie algebras and perverse sheaves, IV

Cites Work

• Intersection cohomology complexes on a reductive group
• Cuspidal local systems and graded Hecke algebras. I
• Equivariant sheaves and functors
• Induced and simple modules of double affine Hecke algebras.
• Study of perverse sheaves arising from graded Lie algebras
• 𝐙/𝐦-graded Lie algebras and perverse sheaves, I
• 𝐙/𝐦-graded Lie algebras and perverse sheaves, II
• Classification of unipotent representations of simple 𝑝-adic groups, II
• Endomorphisms of linear algebraic groups
• Geometric representations of graded and rational Cherednik algebras
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