The variety of Lie bialgebras

被引：0
|
作者：
Ciccoli, N [1 ]
Guerra, L [1 ]
机构：
[1] Univ Perugia, Dipartimento Matemat, I-06123 Perugia, Italy
来源：
JOURNAL OF LIE THEORY | 2003年 / 13卷 / 02期
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D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We define a Lie bialgebra cohomology as the total cohomology of a double complex constructed from a Lie algebra and its dual, we show that its 2-cocycles classify Lie bialgebra formal deformations and we prove the usual cohomological condition (i. e. H-2 = 0) for formal rigidity. Lastly we describe the results of explicit computations in low-dimensional cases.
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页码：579 / 590
页数：12
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