- About this Journal
- Abstracting and Indexing
- Aims and Scope
- Article Processing Charges
- Articles in Press
- Author Guidelines
- Bibliographic Information
- Citations to this Journal
- Contact Information
- Editorial Board
- Editorial Workflow
- Free eTOC Alerts
- Publication Ethics
- Submit a Manuscript
- Table of Contents
ISRN Algebra
Volume 2011 (2011), Article ID 381875, 11 pages
doi:10.5402/2011/381875
-Extensions of -Lie Algebras
College of Mathematics and Computer Science, Hebei University, Baoding 071002, China
Received 28 May 2011; Accepted 6 July 2011
Academic Editors: W. de Graaf and A. Zimmermann
Copyright © 2011 Ruipu Bai and Ying Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The paper is mainly concerned with -extensions of -Lie algebras. The -extension of an -Lie algebra by a cocycle θ is defined, and a class of cocycles is constructed by means of linear mappings from an -Lie algebra on to its dual space. Finally all -extensions of -dimensional -Lie algebras are classified, and the explicit multiplications are given.