Rigid current Lie algebras
Rings and Algebras
2007-05-23 v1
Abstract
A current Lie algebra is contructed from a tensor product of a Lie algebra and a commutative associative algebra of dimension greater than 2. In this work we are interested in deformations of such algebras and in the problem of rigidity. In particular we prove that a current Lie algebra is rigid if it is isomorphic to a direct product gxg...xg where g is a rigid Lie algebra.
Cite
@article{arxiv.math/0610478,
title = {Rigid current Lie algebras},
author = {Michel Goze and Elisabeth Remm},
journal= {arXiv preprint arXiv:math/0610478},
year = {2007}
}
Comments
9 pages