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

关键词：

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.

引用

页码：579 / 590

页数：12

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