IRREDUCIBLE LIE ALGEBRA EXTENSIONS OF POINCARE ALGEBRA .I. EXTENSIONS WITH ABELIAN KERNELS

被引：6

作者：

CATTANEO, U

机构：

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1969年 / 13卷 / 03期

关键词：

D O I：

10.1007/BF01645489

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We use cohomology of Lie algebras to analyse the abelian extensions of the Poincaré algebra P. We study particularly the irreducible and truly irreducible extensions: some irreducibility criteria are proved and applied to obtain a classification of types of irreducible abelian extensions of P. We give a characterization of the minimal essential extensions in terms of truly irreducible extensions. © 1969 Springer-Verlag.

引用

页码：226 / &

共 10 条

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[2]

Cartan H., 1956, HOMOLOGICAL ALGEBRA

[3] COHOMOLOGY THEORY OF LIE GROUPS AND LIE ALGEBRAS [J].