CHEVIE -- A system for computing and processing generic character tables

DOI10.1007/BF01190329zbMath0847.20006MaRDI QIDQ1912709

Meinolf Geck, Gerhard Hiss, Frank Lübeck, Gunter Malle, Götz Pfeiffer

Publication date: 30 September 1996

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

zbMATH Keywords

finite groups of Lie typereflection groupsIwahori-Hecke algebrasconstructive Galois theorycharacter theory of Chevalley groupscomputational Lie theorycomputer algebra package CHEVIEgeneric character tables

Mathematics Subject Classification ID

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With an appendix by Pierre Baumann and Christophe Hohlweg.

Uses Software

• GAP
• Maple
• Coxeter

Cites Work

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• Generalized Deligne-Lusztig characters
• Hecke algebra representations of braid groups and link polynomials
• On the decomposition numbers of \(G_ 2(q)\)
• Linear algebraic groups
• On a theorem of Benson and Curtis
• Representations of Coxeter groups and Hecke algebras
• Generic Sylow theorems for the reductive groups over finite fields
• A Frobenius formula for the characters of the Hecke algebras
• Representations of reductive groups over finite fields
• On the irreducible characters of Hecke algebras
• Young characters on Coxeter basis elements of Iwahori-Hecke algebras and a Murnaghan-Nakayama formula
• Unipotent degrees of imprimitive complex reflection groups
• The Characters of the Finite General Linear Groups
• Hurwitz Groups and G₂(q)
• Exceptional groups of Lie type as Galois groups.
• The representations and generic degrees of the Hecke algeba of type H4.
• Remarks on Computing Irreducible Characters
• Centralizers of Semisimple Elements in Finite Groups of Lie Type
• On The Character Values of Iwahori-Hecke Algebras of Exceptional Type
• ‘Good’ Elements of Finite Coxeter Groups and Representations of Iwahori-Hecke Algebras
• Murnaghan-Nakayama rules for characters of Iwahori-Hecke algebras of classical type
• The Characters of the Finite Symplectic Group Sp(4,q)
• On the Degrees and Rationality of Certain Characters of Finite Chevalley Groups
• Die unipotenten charaktere von ²F₄(q²)
• Finite Unitary Reflection Groups

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