Varieties of Nilpotent Complex Leibniz Algebras of Dimension Less than Five
Sergio AlbeverioInstitut für Angewandte Mathematik, Universität Bonn , Bonn, GermanyB. A. OmirovInstitute of Mathematics, Uzbekistan Academy of Sciences , F. Hodjaev, Tashkent, UzbekistanI. S. RakhimovNational University of Uzbekistan, VUZ gorodok NUU , Tashkent, Uzbekistan
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ABSTRACT The aim of this work is to describe the irreducible components of the nilpotent complex Leibniz algebras varieties of dimension less than 5. We construct degenerations between one-parametric families of nilpotent Leibniz algebras and study the rigidity of these families.
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