On Springer's correspondence for simple groups of type En (n = 6, 7, 8)

DOI10.1017/S0305004100059703zbMath0492.20028MaRDI QIDQ3953975

Dean Alvis, George Lusztig

Publication date: 1982

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

connected componentsWeyl groupirreducible characterscomplex reductive groupcohomology spacevariety of Borel subgroupsunipotent element

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items (19)

Unnamed Item ⋮ Character sheaves. V ⋮ Extremal contractions, stratified Mukai flops and Springer maps ⋮ Unipotent classes and special Weyl group representations. ⋮ Springer's Weyl group representations through characteristic classes of cone bundles ⋮ Representations of finite groups ⋮ A family of affine Weyl group representations ⋮ A variant of the induction theorem for Springer representations. ⋮ Torus actions, localization and induced representations on cohomology ⋮ Nilpotent classes and sheets of Lie algebras in bad characteristic ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Strata of a disconnected reductive group ⋮ On \(\mathbb Q\)-factorial terminalizations of nilpotent orbits ⋮ A topological approach to induction theorems in Springer theory ⋮ Springer basic sets and modular Springer correspondence for classical types ⋮ Primitive ideals and orbital integrals in complex exceptional groups ⋮ Green functions of finite Chevalley groups of type \(E_ n (n=6,7,8)\) ⋮ Differential operators on homogeneous spaces. III: Characteristic varieties of Harish Chandra modules and of primitive ideals

Cites Work

• Trigonometric sums, Green functions of finite groups and representations of Weyl groups
• A construction of representations of Weyl groups
• Correction to "On the springer representations op the weyl groups of classical algebraic groups"
• On the springer representations of chevalley groups op type f₄
• Induced Unipotent Classes

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