The isomorphism problem for universal enveloping algebras of nilpotent Lie algebras
Rings and Algebras
2010-06-08 v1
Abstract
In this paper we study the isomorphism problem for the universal enveloping algebras of nilpotent Lie algebras. We prove that if the characteristic of the underlying field is not~2 or~3, then the isomorphism type of a nilpotent Lie algebra of dimension at most~6 is determined by the isomorphism type of its universal enveloping algebra. Examples show that the restriction on the characteristic is necessary.
Keywords
Cite
@article{arxiv.1006.1341,
title = {The isomorphism problem for universal enveloping algebras of nilpotent Lie algebras},
author = {Csaba Schneider and Hamid Usefi},
journal= {arXiv preprint arXiv:1006.1341},
year = {2010}
}