CHEVIE - A system for computing and processing generic character tables

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

doi:10.1007/BF01190329

CHEVIE - A system for computing and processing generic character tables

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

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

266 Citations (Scopus)

Abstract

CHEVIE is a computer algebra package which collects data and programs for the representation theory of finite groups of Lie type and associated structures. We explain the theoretical and conceptual background of the various parts of CHEVIE and we show the usage of the system by means of explicit examples. More precisely, we have sections on Weyl groups and Iwahori-Hecke algebras, generic character tables of series of finite groups of Lie type, and cyclotomic algebras.

Original language	English
Pages (from-to)	175-210
Number of pages	36
Journal	Applicable Algebra in Engineering, Communications and Computing
Volume	7
Issue number	3
DOIs	https://doi.org/10.1007/BF01190329
Publication status	Published - Apr 1996
Externally published	Yes

Keywords

Characters
Computer algebra
Finite groups of Lie type
Iwahori-Hecke algebras

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10.1007/BF01190329

Cite this

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abstract = "CHEVIE is a computer algebra package which collects data and programs for the representation theory of finite groups of Lie type and associated structures. We explain the theoretical and conceptual background of the various parts of CHEVIE and we show the usage of the system by means of explicit examples. More precisely, we have sections on Weyl groups and Iwahori-Hecke algebras, generic character tables of series of finite groups of Lie type, and cyclotomic algebras.",

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author = "Meinolf Geck and Gerhard Hiss and Frank L{\"u}beck and Gunter Malle and G{\"o}tz Pfeiffer",

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AU - Geck, Meinolf

AU - Hiss, Gerhard

AU - Lübeck, Frank

AU - Malle, Gunter

AU - Pfeiffer, Götz

PY - 1996/4

Y1 - 1996/4

N2 - CHEVIE is a computer algebra package which collects data and programs for the representation theory of finite groups of Lie type and associated structures. We explain the theoretical and conceptual background of the various parts of CHEVIE and we show the usage of the system by means of explicit examples. More precisely, we have sections on Weyl groups and Iwahori-Hecke algebras, generic character tables of series of finite groups of Lie type, and cyclotomic algebras.

AB - CHEVIE is a computer algebra package which collects data and programs for the representation theory of finite groups of Lie type and associated structures. We explain the theoretical and conceptual background of the various parts of CHEVIE and we show the usage of the system by means of explicit examples. More precisely, we have sections on Weyl groups and Iwahori-Hecke algebras, generic character tables of series of finite groups of Lie type, and cyclotomic algebras.

KW - Characters

KW - Computer algebra

KW - Finite groups of Lie type

KW - Iwahori-Hecke algebras

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U2 - 10.1007/BF01190329

DO - 10.1007/BF01190329

M3 - Article

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JF - Applicable Algebra in Engineering, Communications and Computing

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ER -

CHEVIE - A system for computing and processing generic character tables

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Keywords

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