典型文献
Nonabelian omni-Lie algebroids
文献摘要：
In this paper,we study the structure of nonabelian omni-Lie alge-broids.Firstly,taking Lie algebroid(E,[·,·]E,ρE)as the starting point,a nonabelian omni-Lie algebroid is defined on direct sum bundle(D)E⊕(J)E,where(D)E and(J)E are,respectively,the gauge Lie algebroid and the jet bundle of vector bundle E,and study its properties.Furthermore,it is concluded that the nonabelian omni-Lie algebroid is a trivial deformation of the omni-Lie algebroid,and the nonabelian omni-Lie algebroid is a matched pair of Leibniz algebroids.
文献关键词：
中图分类号：
作者姓名：
Yanhui BI;Hongtao FAN;Danlu CHEN
作者机构：
School of Mathematics and Information Sciences,Nanchang Hangkong University,Nanchang 330063,China
文献出处：
引用格式：
[1]Yanhui BI;Hongtao FAN;Danlu CHEN-.Nonabelian omni-Lie algebroids)[J].中国数学前沿,2022(06):1037-1049
A类：
Nonabelian,omni,algebroids,nonabelian,alge,broids,algebroid
B类：
Lie,In,this,paper,we,study,structure,Firstly,taking,as,starting,point,defined,direct,sum,bundle,where,are,respectively,gauge,jet,vector,its,properties,Furthermore,concluded,that,trivial,deformation,matched,pair,Leibniz
AB值：
0.321636
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