Remarks on Computing Irreducible Characters

DOI10.2307/2152716zbMath0773.20011OpenAlexW4253991905MaRDI QIDQ4024447

George Lusztig

Publication date: 20 April 1993

Full work available at URL: https://doi.org/10.2307/2152716

zbMATH Keywords

finite fieldsrational pointsirreducible charactersclass functionscharacter tablesLevi subgroupsconnected reductive algebraic groupsDeligne-Lusztig virtual characters

Mathematics Subject Classification ID

Related Items (10)

Basic sets of Brauer characters of finite groups of Lie type. III ⋮ On the values of unipotent characters of finite Chevalley groups of type \(E_7\) in characteristic 2 ⋮ CHEVIE -- A system for computing and processing generic character tables ⋮ Unnamed Item ⋮ The character table of the finite Chevalley group \(F_4(q)\) for \(q\) a power of \(2\) ⋮ Unipotent elements of finite groups of Lie type and realization fields of their complex representations. ⋮ Generic character sheaves on disconnected groups and character values ⋮ A first guide to the character theory of finite groups of Lie type ⋮ On the values of unipotent characters in bad characteristic ⋮ Fourier transforms and Frobenius eigenvalues for finite Coxeter groups.

Cites Work

• Unnamed Item
• Unnamed Item
• On the Green polynomials of classical groups
• Green functions of finite Chevalley groups of type \(E_ n (n=6,7,8)\)
• Intersection cohomology complexes on a reductive group
• Green functions and character sheaves
• Generalized Gelfand-Graev representations of exceptional simple algebraic groups over a finite field. I
• On the character values of finite Chevalley groups at unipotent elements
• Erratum to: Character sheaves. V
• A unipotent support for irreducible representations
• Representations of reductive groups over finite fields
• On the finiteness of the number of unipotent classes
• Characters of Reductive Groups over a Finite Field. (AM-107)
• The unipotent class functions on the symplectic groups and the odd orthogonal groups over finite fields

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