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Nonabelian omni-Lie algebroids |
Yanhui BI, Hongtao FAN( ), Danlu CHEN |
| School of Mathematics and Information Sciences, Nanchang Hangkong University, Nanchang 330063, China |
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Abstract In this paper, we study the structure of nonabelian omni-Lie algebroids. Firstly, taking Lie algebroid as the starting point, a nonabelian omni-Lie algebroid is defined on direct sum bundle , where and are, respectively, the gauge Lie algebroid and the jet bundle of vector bundle , 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.
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| Keywords
Nonabelian omni-Lie algebroid
omni-Lie algebroid
trivial deformation
matched pair of Leibniz algebroids
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Corresponding Author(s):
Hongtao FAN
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Online First Date: 03 January 2023
Issue Date: 04 January 2023
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