Representations of 3-Dimensional Simple Multiplicative Hom-Lie Algebras
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-20
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The aim of this paper is to study representations of 3-dimensional simple multiplicative Hom-Lie algebras (?;[·,·];α) (whose structure is of A1-type).
In this paper we can see that a finite dimensional representation of (?;[·,·];α) is not always completely reducible, and a representation of (?;[·,·];α) is irreducible if and only if it is a regular Lie-type representation.
American Psychological Association (APA)
Li, Xiuxian. 2013. Representations of 3-Dimensional Simple Multiplicative Hom-Lie Algebras. Advances in Mathematical Physics،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-509793
Modern Language Association (MLA)
Li, Xiuxian. Representations of 3-Dimensional Simple Multiplicative Hom-Lie Algebras. Advances in Mathematical Physics No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-509793
American Medical Association (AMA)
Li, Xiuxian. Representations of 3-Dimensional Simple Multiplicative Hom-Lie Algebras. Advances in Mathematical Physics. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-509793
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-509793