Computing Ext algebras for finite groups

被引：4

作者：

Carlson, JF

Green, EL

Schnieder, GJA

机构：

[1] VIRGINIA POLYTECH INST & STATE UNIV,DEPT MATH,BLACKSBURG,VA 24061

[2] UNIV KARLSRUHE,RECHENZENTRUM,D-7500 KARLSRUHE 1,GERMANY

来源：

JOURNAL OF SYMBOLIC COMPUTATION | 1997年 / 24卷 / 3-4期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1006/jsco.1996.0129

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Suppose that G is a finite group and Ic is a field of characteristic p > 0. In this paper we describe a scheme for computing the Ext algebra of kG, i.e. the algebra Ext(kg)* (T, T) where T is the sum of irreducible kG-modules. (C) 1997 Academic Press Limited.

引用

页码：317 / 325

页数：9

共 10 条

[1]

ADEM A, 1993, COHOMOLOGY FINITE GR

[2] DIAGRAMMATIC METHODS FOR MODULAR-REPRESENTATIONS AND COHOMOLOGY [J].

BENSON, DJ ;

CARLSON, JF .

COMMUNICATIONS IN ALGEBRA, 1987, 15 (1-2) :53-121

[3]

CARLSON J, 1983, P LOND MATH SOC, V147, P480

[4]

Carlson J.F., 1991, P INT C MATH, P317

[5] SYNERGY IN THE THEORIES OF GROBNER BASES AND PATH ALGEBRAS [J].

FARKAS, DR ;

FEUSTEL, CD ;

GREEN, EL .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1993, 45 (04) :727-739

[6] CONSTRUCTING PROJECTIVE-RESOLUTIONS [J].

FEUSTEL, CD ;

GREEN, EL ;

KIRKMAN, E ;

KUZMANOVICH, J .

COMMUNICATIONS IN ALGEBRA, 1993, 21 (06) :1869-1887

[7] THE COHOMOLOGY OF P-CONSTRAINED GROUPS [J].

LINNELL, PA ;

STAMMBACH, U .

JOURNAL OF PURE AND APPLIED ALGEBRA, 1987, 49 (03) :273-279

[8] COHOMOLOGY OF FINITE SOLUBLE GROUPS [J].

LINNELL, PA .

JOURNAL OF ALGEBRA, 1987, 107 (01) :53-62

[9]

Parker Richard A., 1984, COMPUTATIONAL GROUP, P267

[10] COMPUTING WITH ENDOMORPHISM-RINGS OF MODULAR-REPRESENTATIONS [J].

SCHNEIDER, GJA .

JOURNAL OF SYMBOLIC COMPUTATION, 1990, 9 (5-6) :607-636

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