On extensions of Lie algebras by means of the Heisenberg algebra

被引：1
|
作者：
Sadetov, ST [1 ]
机构：
[1] Don State Tech Univ, Rostov Na Donu, Russia
来源：
MATHEMATICAL NOTES | 2005年 / 78卷 / 5-6期
关键词：
Heisenberg algebra; quotient algebra; cohomology; extension of an algebra;
D O I：
10.1007/s11006-005-0172-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that extensions of an arbitrary algebra generated by the Heisenberg algebra are inessential after factorization with respect to the center of the Heisenberg algebra. The extensions considered in the paper have a standard description in terms of a pair consisting of a representation and a cohomology class.
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页码：693 / 695
页数：3
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