Simplicity of quadratic Lie conformal algebras
Quantum Algebra
2015-07-08 v3 Mathematical Physics
math.MP
Rings and Algebras
Abstract
In this paper, simplicity of quadratic Lie conformal algebras are investigated. From the point view of the corresponding Gel'fand-Dorfman bialgebras, some sufficient conditions and necessary conditions to ensure simplicity of quadratic Lie conformal algebras are presented. By these observations, we present several classes of new infinite simple Lie conformal algebras. These results will be useful for classification purposes.
Keywords
Cite
@article{arxiv.1505.03312,
title = {Simplicity of quadratic Lie conformal algebras},
author = {Yanyong Hong and Zhixiang Wu},
journal= {arXiv preprint arXiv:1505.03312},
year = {2015}
}
Comments
11 pages