About the reducibility of the variety of complex Leibniz algebras

About the reducibility of the variety of complex Leibniz algebras

Journal of Lie Theory, 17 (2007) 617-624 In this paper, using the notions of perturbation and contraction of Lie and Leibniz algebras, we show that the algebraic varieties of Leibniz and nilpotent Leibniz algebras of dimension greater than 2 are reducible.

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Hauptverfasser: Bermudez, J. M. Ancochea, Margalef-Bentabol, Juan
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Rings and Algebras
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Zusammenfassung:Journal of Lie Theory, 17 (2007) 617-624 In this paper, using the notions of perturbation and contraction of Lie and Leibniz algebras, we show that the algebraic varieties of Leibniz and nilpotent Leibniz algebras of dimension greater than 2 are reducible.
DOI:10.48550/arxiv.1508.00253