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Degenerations of Zinbiel and nilpotent Leibniz algebras

Ivan KaygorodovCMCC, Universidade Federal do ABC , Santo André, BrazilYury PopovDepartment of Mathematics and Mechanics, Novosibirsk State University , Novosibirsk, RussiaAlexandre PozhidaevSobolev Institute of Mathematics , Novosibirsk, RussiaYury VolkovDepartment of Mathematics and Mechanics, Saint Petersburg State University , Saint Petersburg, Russia
2017en
ABI

Abstract

We describe degenerations of four-dimensional Zinbiel and four-dimensional nilpotent Leibniz algebras over C. In particular, we describe all irreducible components in the corresponding varieties.

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Cited by 140 references