FINITELY SORTING LIE-ALGEBRAS

被引：1

作者：

BARNES, DW

机构：

[1] Department of Pure Mathematics, University of Sydney

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 1990年 / 49卷

基金：

澳大利亚研究理事会;

关键词：

D O I：

10.1017/S1446788700032389

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Lie algebras whose finite-dimensional modules decompose into direct sums of modules involving only one type of irreducible are investigated. Some vanishing theorems for the cohomology of some infinite-dimensional Lie algebras are thereby obtained.

引用

页码：354 / 363

页数：10

共 5 条

[1]

[Anonymous], 2004, COMBINATORIAL GROUP

[2] SORTABILITY OF REPRESENTATIONS OF LIE-ALGEBRAS [J].

BARNES, DW .

JOURNAL OF ALGEBRA, 1973, 27 (03) :486-490

[3] ON THE VANISHING OF HOMOLOGY AND COHOMOLOGY GROUPS OF ASSOCIATIVE ALGEBRAS [J].

FARNSTEINER, R .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 306 (02) :651-665

[4]

JACOBSON N, 1962, INTERSCIENCE TRACTS

[5] COHOMOLOGY OF LIE-ALGEBRAS WITH A NONTRIVIAL CENTER [J].

MITRA, B ;

SITARAM, BR ;

TRIPATHY, KC .

JOURNAL OF MATHEMATICAL PHYSICS, 1984, 25 (03) :443-444

← 1 →