Paolo Ciatti [a]
and
Michael G. Cowling [b]
The Levi decomposition of a graded Lie algebra
Pages: 373-378
Received: 2 December 2018
Accepted in revised form: 15 Janaury 2019
Mathematics Subject Classification (2010): Primary: 17B05, secondary: 17B70.
Keywords: Levi decomposition, graded Lie algebra.
Authors address:
[a]: Dipartimento di Ingegneria Civile Edile e Ambientale, Università degli Studi di Padova, via Mazzolo 9, 35131 Padova, Italia
[b]: School of Mathematics and Statistics, University of New South Wales, UNSW Sydney 2015, Australia
Abstract: We show that a graded Lie algebra admits a Levi decomposition that is compatible with the grading.