Centroids of Lie Supertriple Systems

We derive certain structural results concerning centroids of Lie supertriple systems. Centroids of the tensor product of a Lie supertriple system and a unital commutative associative algebra are studied. Furthermore, the centroid of a tensor product of a simple Lie supertriple system and a polynomia...

Full description

Saved in:
Bibliographic Details
Main Authors: Jianrong Peng, Liangyun Chen, Bing Sun
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2015/949046
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850229233462280192
author Jianrong Peng
Liangyun Chen
Bing Sun
author_facet Jianrong Peng
Liangyun Chen
Bing Sun
author_sort Jianrong Peng
collection DOAJ
description We derive certain structural results concerning centroids of Lie supertriple systems. Centroids of the tensor product of a Lie supertriple system and a unital commutative associative algebra are studied. Furthermore, the centroid of a tensor product of a simple Lie supertriple system and a polynomial ring is partly determined.
format Article
id doaj-art-27dbcb76cc5048d4b5d96fc2eefb9fe2
institution OA Journals
issn 1687-9120
1687-9139
language English
publishDate 2015-01-01
publisher Wiley
record_format Article
series Advances in Mathematical Physics
spelling doaj-art-27dbcb76cc5048d4b5d96fc2eefb9fe22025-08-20T02:04:18ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/949046949046Centroids of Lie Supertriple SystemsJianrong Peng0Liangyun Chen1Bing Sun2School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, ChinaSchool of Mathematics and Statistics, Northeast Normal University, Changchun 130024, ChinaSchool of Mathematics and Statistics, Northeast Normal University, Changchun 130024, ChinaWe derive certain structural results concerning centroids of Lie supertriple systems. Centroids of the tensor product of a Lie supertriple system and a unital commutative associative algebra are studied. Furthermore, the centroid of a tensor product of a simple Lie supertriple system and a polynomial ring is partly determined.http://dx.doi.org/10.1155/2015/949046
spellingShingle Jianrong Peng
Liangyun Chen
Bing Sun
Centroids of Lie Supertriple Systems
Advances in Mathematical Physics
title Centroids of Lie Supertriple Systems
title_full Centroids of Lie Supertriple Systems
title_fullStr Centroids of Lie Supertriple Systems
title_full_unstemmed Centroids of Lie Supertriple Systems
title_short Centroids of Lie Supertriple Systems
title_sort centroids of lie supertriple systems
url http://dx.doi.org/10.1155/2015/949046
work_keys_str_mv AT jianrongpeng centroidsofliesupertriplesystems
AT liangyunchen centroidsofliesupertriplesystems
AT bingsun centroidsofliesupertriplesystems