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The geometric classification of Leibniz algebras

Nurlan IsmailovSuleyman Demirel University, Almaty, KazakhstanIvan KaygorodovUniversidade Federal do ABC, CMCC, Santo André, BrazilYury VolkovSaint Petersburg State University, Saint Petersburg, Russia
2018en
ABI

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We describe all rigid algebras and all irreducible components in the variety of four-dimensional Leibniz algebras [Formula: see text] over [Formula: see text] In particular, we prove that the Grunewald–O'Halloran conjecture is not valid and the Vergne conjecture is valid for [Formula: see text]

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