Green functions for groups of typeE6andF4in charateristics 2

DOI10.1080/00927879308824595zbMath0815.20033OpenAlexW2085844823MaRDI QIDQ4034562

Gunter Malle

Publication date: 16 May 1993

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879308824595

zbMATH Keywords

Weyl groupsFrobenius morphismreductive algebraic groupsinductionfusionorthogonality relationsexceptional groupsunipotent elementsbad characteristicunipotent classesShintani descentEnnola dualityalmost charactersouter Green functionstwisted disconnected groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33)

Related Items (11)

Generalized Green Functions and Unipotent Classes for Finite Reductive Groups, I ⋮ Outer unipotent classes in automorphism groups of simple algebraic groups ⋮ From conjugacy classes in the Weyl group to unipotent classes, III ⋮ Computing Green functions in small characteristic ⋮ The character table of the finite Chevalley group \(F_4(q)\) for \(q\) a power of \(2\) ⋮ Characters and Brauer trees of the covering group of ²𝐸₆(2) ⋮ Overgroups of regular unipotent elements in simple algebraic groups ⋮ Unnamed Item ⋮ Partial orders on conjugacy classes in the Weyl group and on unipotent conjugacy classes ⋮ Products and commutators of classes in algebraic groups. ⋮ Variations on the Baer-Suzuki theorem.

Cites Work

• Unnamed Item
• Green functions of finite Chevalley groups of type \(E_ n (n=6,7,8)\)
• Green functions and character sheaves
• Classes unipotentes et sous-groupes de Borel
• The characters of the finite unitary groups
• On the green polynomials of a chevalley group of type f₄
• On the Green Polynomials of Classical Groups
• Die unipotenten charaktere von ²F₄(q²)

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