Riv. Mat. Univ. Parma, Vol. 9, No. 2, 2018

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

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Abstract: We show that a graded Lie algebra admits a Levi decomposition that is compatible with the grading.

References
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C. Medori and M. Nacinovich, The Levi-Malcev theorem for graded CR Lie algebras, Recent advances in Lie theory (Vigo, 2000), Res. Exp. Math., 25, Heldermann, Lemgo, 2002, 341–346. MR1937989


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