三角Jacobi双代数胚及其形变

Triangular Jacobi Bialgebroids and Deformation

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摘要三角Jacobi双代数胚是Mackenzie,徐平所定义的三角李双代数胚的推广.本文将讨论三角Jacobi双代数胚的一些性质,并利用Nijenhuis张量使之成为形变的Jacobi双代数胚.从而可以得到一个Jacobi-Nijenhuis流形. Trangular Jacobi bialgebroids are a generalization of triangmar Lie biaigebroids in the sense of Mackenzie and Xu. In this paper, we will discuss the properties of this type.Meanwhile, we will show the deformed triangular Jacobi bialgebroids, as a consequence, we get a strict Jacobi-Nijenhuis structure.

作者廖丽娜贺龙光

机构地区首都师范大学数学系

出处《数学进展》 CSCD 北大核心 2008年第2期171-180,共10页 Advances in Mathematics（China）

基金国家自然科学基金(No.10371109)

关键词 Jacobi双代数胚三角Jacobi双代数胚 Nijenhuis张量形变Jacobi双代数胚 Jacobi bialgebroids triangular Jacobi bialgebroids Nijenhis tensor deformedJacobi bialgebroids

分类号 O189.1 [理学—基础数学]

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1廖丽娜.Jacobi双代数胚的形变[J].宁夏大学学报（自然科学版）,2006,27(3):225-229.
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三角Jacobi双代数胚及其形变

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