Article

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

Abstract

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]

Identifiers

DOI: 10.1142/s0129167x18500350

Citations and references

Cited by 100 references

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