CHARACTERIZATION OF SEMIDIRECT SUM LIE-ALGEBRAS

被引：8

作者：

ANTONIOU, IE ^{[1
]}

MISRA, B ^{[1
]}

机构：

[1] FREE UNIV BRUSSELS, INST INT PHYS & CHIM FONDES E SOLVAY, B-1050 BRUSSELS, BELGIUM

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1991年 / 32卷 / 04期

关键词：

D O I：

10.1063/1.529344

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Semidirect sum Lie algebras A(+ d may be characterized by the type of the representation the invariant subalgebra d provides for the Lie algebra A. The method is of particular interest when the invariant subalgebra d is infinite dimensional and allows one to compare such algebras provided the representations of the algebra A are known. In this way two infinite semidirect sum Lie algebras of the Lorentz algebra, namely the relativistic internal time algebra and the Bondi-Metzner-Sachs algebra, are characterized. Furthermore some minor errors of the commutation relations of the Bondi-Metzner-Sachs algebra have been corrected.

引用

页码：864 / 868

页数：5

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