Generalized Lie bialgebras and Jacobi structures on Lie groups

被引：0
|
作者：
David Iglesias
Juan C. Marrero
机构：
[1] Universidad de la Laguna,Departamento de Matemática Fundamental, Facultad de Matemáticas
[2] La Laguna,undefined
来源：
Israel Journal of Mathematics | 2003年 / 133卷
关键词：
Invariant Vector Field; Schouten Bracket; Jacobi Structure; Jacobi Bracket; Intrinsic Derivative;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study generalized Lie bialgebroids over a single point, that is, generalized Lie bialgebras and we prove that they can be considered as the infinitesimal invariants of Lie groups endowed with a certain type of Jacobi structure. We also propose a method generalizing the Yang-Baxter equation method to obtain generalized Lie bialgebras. Finally, we classify the compact generalized Lie bialgebras.
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页码：285 / 320
页数：35
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