Graded Lie Algebras and Intersection Cohomology

DOI10.1007/978-0-8176-4697-4_8zbMath1231.20044arXivmath/0604535OpenAlexW1681465728MaRDI QIDQ3015533

George Lusztig

Publication date: 13 July 2011

Published in: Representation Theory of Algebraic Groups and Quantum Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604535

zbMATH Keywords

algorithmsintersection cohomology sheavesgraded Lie algebrasconnected reductive algebraic groupscanonical basesperverse sheavesmultiplicities of local systems

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Graded Lie (super)algebras (17B70) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Lie algebras of linear algebraic groups (17B45) Cohomology theory for linear algebraic groups (20G10)

Related Items

Some methods of computing first extensions between modules of graded Hecke algebras ⋮ On the reducibility of induced representations for classical \(p\)-adic groups and related affine Hecke algebras ⋮ Canonical bases and affine Hecke algebras of type \(B\). ⋮ 𝐙/𝐦-graded Lie algebras and perverse sheaves, IV ⋮ Multiplicity matrices for the affine graded Hecke algebra. ⋮ Canonical bases and affine Hecke algebras of type \(D\).

Cites Work

• Cuspidal local systems and graded Hecke algebras. I
• La conjecture de Weil. II
• Study of perverse sheaves arising from graded Lie algebras
• Canonical Bases Arising from Quantized Enveloping Algebras
• Cuspidal local systems and graded Hecke algebras, III
• Character sheaves on disconnected groups, VIII
• Character sheaves on disconnected groups, IX
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