CHEVIE - A system for computing and processing generic character tables

被引：110

作者：

Geck, M

Hiss, G

Lubeck, F

Malle, G

Pfeiffer, G

机构：

[1] RHEIN WESTFAL TH AACHEN,LEHRSTUHL MATH D,D-52062 AACHEN,GERMANY

[2] UNIV HEIDELBERG,IWR,D-69120 HEIDELBERG,GERMANY

[3] UNIV ST ANDREWS,DEPT MATH,ST ANDREWS KY16 9SS,FIFE,SCOTLAND

来源：

APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 1996年 / 7卷 / 03期

关键词：

characters; finite groups of Lie type; Iwahori-Hecke algebras; computer algebra;

D O I：

10.1007/s002000050027

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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.

引用

页码：175 / 210

页数：36

共 50 条

[1]

ALVIS D, 1982, J REINE ANGEW MATH, V336, P201

[2]

ALVIS D, 1994, J REINE ANGEW MATH, V449, P217

[3]

[Anonymous], COMPOSITIO MATH

[4]

[Anonymous], 1981, LINEAR ALGEBRAIC GRO

[5]

[Anonymous], 1974, CONVEGNO GRUPPI LORO

[6]

BENSON CT, 1972, T AM MATH SOC, V165, P251

[7] GENERIC SYLOW THEOREMS FOR REDUCTIVE GROUPS OVER FINITE-FIELDS [J].

BROUE, M ;

MALLE, G .

MATHEMATISCHE ANNALEN, 1992, 292 (02) :241-262

[8]

BROUE M, 1993, ASTERISQUE, V212, P7

[9]

Broue Michel, 1993, Asterisque, V212, P119

[10]

Carter R. W., 1993, Finite groups of lie type. Conjugacy classes and complex characters

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