Sign in
Back
Finite generation of Lie algebras associated with associative algebras
Journal article   Open access  Peer reviewed

Finite generation of Lie algebras associated with associative algebras

Adel Alahmadi, Hamed Alsulami, S.K. Jain and Efim Zelmanov
Journal of algebra, Vol.426, pp.69-78
15/03/2015
DOI: https://doi.org/10.1016/j.jalgebra.2014.10.056

Abstract

Associative algebra Finitely generated Lie subalgebra
Let F be a field of characteristic not 2. An associative F-algebra R gives rise to the commutator Lie algebra R(−)=(R,[a,b]=ab−ba). If the algebra R is equipped with an involution ⁎:R→R then the space of the skew-symmetric elements K={a∈R|a⁎=−a} is a Lie subalgebra of R(−). In this paper we find sufficient conditions for the Lie algebras [R,R] and [K,K] to be finitely generated.
url
https://doi.org/10.1016/j.jalgebra.2014.10.056View
Published (Version of record) Open

Metrics

1 Record Views

Details