Vergne–Grunewald–O'Halloran conjecture for Leibniz varieties

Let n2n\ge 2, and consider an irreducible component of the variety of nn-dimensional Leibniz algebras. Vergne–Grunewald–O'Halloran conjecture. Every such irreducible component contains a non-nilpotent algebra. This is a geometric reformulation of the claim that nilpotent Leibniz algebras do not account for an entire irreducible component; the source gives no resolution status.

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Primary source

Nurlan Ismailov, Ivan Kaygorodov and Yury Volkov, “The geometric classification of Leibniz algebras”, arXiv:1705.04346 (2021).

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