Grunewald–O'Halloran conjecture for nilpotent Leibniz algebras
Let be an -dimensional nilpotent Leibniz algebra with . A degeneration means that the -dimensional non-nilpotent Leibniz algebra degenerates to . Grunewald–O'Halloran conjecture. For any -dimensional nilpotent Leibniz algebra with , there exists an -dimensional non-nilpotent Leibniz algebra such that . This is the Leibniz-algebra analogue of the Grunewald–O'Halloran conjecture for Lie algebras; the source mentions partial results in related algebra varieties but gives no resolution of this general assertion.
References
Primary source
Nurlan Ismailov, Ivan Kaygorodov and Yury Volkov, “The geometric classification of Leibniz algebras”, arXiv:1705.04346 (2021).
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
No solutions have been posted yet.