COHOMOLOGY AND DEFORMATION OF LEIBNIZ PAIRS

被引：46
|
作者：
FLATO, M [1 ]
GERSTENHABER, M [1 ]
VORONOV, AA [1 ]
机构：
[1] UNIV PENN,DEPT MATH,PHILADELPHIA,PA 19104
来源：
LETTERS IN MATHEMATICAL PHYSICS | 1995年 / 34卷 / 01期
关键词：
Mathematics Subject Classifications (1991): 16E40; 16W30; 17B37; 81R50;
D O I：
10.1007/BF00739377
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Cohomology and deformation theories are developed for Poisson algebras starting with the more general concept of a Leibniz pair, namely of an associative algebra A together with a Lie algebra L mapped into the derivations of A. A bicomplex (with both Hochschild and Chevalley-Eilenberg cohomologies) is essential.
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页码：77 / 90
页数：14
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