Subnormal subalgebras of Leibniz algebras
Rings and Algebras
2008-11-10 v1
Abstract
Zassenhaus has proved that if U is a subnormal subalgebra of a finite-dimensional Lie algebra L and V is a finite-dimensional irreducible L-module, then all U-module composition factors of V are isomorphic. Schenkman has proved that if U is a subnormal subalgebra of a finite-dimensional Lie algebra L, then the nilpotent residual of U is an ideal of L. These useful results generalise to Leibniz algebras.
Cite
@article{arxiv.0811.1060,
title = {Subnormal subalgebras of Leibniz algebras},
author = {Donald W. Barnes},
journal= {arXiv preprint arXiv:0811.1060},
year = {2008}
}
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2 pages