Equivalent Description of Hom-Lie Algebroids

We study representations of Hom-Lie algebroids, give some properties of Hom-Lie algebroids, and discuss equivalent statements of Hom-Lie algebroids. Then, we prove that two known definitions of Hom-Lie algebroids can be transformed into each other under some conditions.

Saved in:
Bibliographic Details
Main Author: Zhen Xiong
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2018/8417516
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1841524808593965056
author Zhen Xiong
author_facet Zhen Xiong
author_sort Zhen Xiong
collection DOAJ
description We study representations of Hom-Lie algebroids, give some properties of Hom-Lie algebroids, and discuss equivalent statements of Hom-Lie algebroids. Then, we prove that two known definitions of Hom-Lie algebroids can be transformed into each other under some conditions.
format Article
id doaj-art-e07ad6deef2f4b0ba380ae1a43792b3b
institution Kabale University
issn 1687-9120
1687-9139
language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Advances in Mathematical Physics
spelling doaj-art-e07ad6deef2f4b0ba380ae1a43792b3b2025-02-03T05:47:20ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/84175168417516Equivalent Description of Hom-Lie AlgebroidsZhen Xiong0Department of Mathematics and Computer, Yichun University, Jiangxi 336000, ChinaWe study representations of Hom-Lie algebroids, give some properties of Hom-Lie algebroids, and discuss equivalent statements of Hom-Lie algebroids. Then, we prove that two known definitions of Hom-Lie algebroids can be transformed into each other under some conditions.http://dx.doi.org/10.1155/2018/8417516
spellingShingle Zhen Xiong
Equivalent Description of Hom-Lie Algebroids
Advances in Mathematical Physics
title Equivalent Description of Hom-Lie Algebroids
title_full Equivalent Description of Hom-Lie Algebroids
title_fullStr Equivalent Description of Hom-Lie Algebroids
title_full_unstemmed Equivalent Description of Hom-Lie Algebroids
title_short Equivalent Description of Hom-Lie Algebroids
title_sort equivalent description of hom lie algebroids
url http://dx.doi.org/10.1155/2018/8417516
work_keys_str_mv AT zhenxiong equivalentdescriptionofhomliealgebroids