Post-Lie Algebra Structures on the Lie Algebra gl(2,C)

The post-Lie algebra is an enriched structure of the Lie algebra. We give a complete classification of post-Lie algebra structures on the Lie algebra gl(2,C) up to isomorphism.

Saved in:
Bibliographic Details
Main Authors: Yuqiu Sheng, Xiaomin Tang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/803540
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832568195676897280
author Yuqiu Sheng
Xiaomin Tang
author_facet Yuqiu Sheng
Xiaomin Tang
author_sort Yuqiu Sheng
collection DOAJ
description The post-Lie algebra is an enriched structure of the Lie algebra. We give a complete classification of post-Lie algebra structures on the Lie algebra gl(2,C) up to isomorphism.
format Article
id doaj-art-0b000a8801db46509de03e2f7f63e7c0
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-0b000a8801db46509de03e2f7f63e7c02025-02-03T00:59:27ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/803540803540Post-Lie Algebra Structures on the Lie Algebra gl(2,C)Yuqiu Sheng0Xiaomin Tang1Department of Mathematics, Heilongjiang University, Harbin 150080, ChinaDepartment of Mathematics, Heilongjiang University, Harbin 150080, ChinaThe post-Lie algebra is an enriched structure of the Lie algebra. We give a complete classification of post-Lie algebra structures on the Lie algebra gl(2,C) up to isomorphism.http://dx.doi.org/10.1155/2013/803540
spellingShingle Yuqiu Sheng
Xiaomin Tang
Post-Lie Algebra Structures on the Lie Algebra gl(2,C)
Abstract and Applied Analysis
title Post-Lie Algebra Structures on the Lie Algebra gl(2,C)
title_full Post-Lie Algebra Structures on the Lie Algebra gl(2,C)
title_fullStr Post-Lie Algebra Structures on the Lie Algebra gl(2,C)
title_full_unstemmed Post-Lie Algebra Structures on the Lie Algebra gl(2,C)
title_short Post-Lie Algebra Structures on the Lie Algebra gl(2,C)
title_sort post lie algebra structures on the lie algebra gl 2 c
url http://dx.doi.org/10.1155/2013/803540
work_keys_str_mv AT yuqiusheng postliealgebrastructuresontheliealgebragl2c
AT xiaomintang postliealgebrastructuresontheliealgebragl2c