Degenerations of Leibniz and anticommutative algebras

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Faculty of Mathemathics and Computer Sciences

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DOI

https://doi.org/10.4153/S0008439519000018
Final published version

Nurlan Ismailov
Ivan Kaygorodov
Yury Volkov

We describe all degenerations of three-dimensional anticommutative algebras Acom₃ and of three-dimensional Leibniz algebras Leib₃ over C. In particular, we describe all irreducible components and rigid algebras in the corresponding varieties.

Original language	English
Pages (from-to)	539-549
Number of pages	11
Journal	Canadian Mathematical Bulletin
Volume	62
Issue number	3
DOIs	https://doi.org/10.4153/S0008439519000018
State	Published - 1 Sep 2019

Research areas

Anticommutative algebra, Degeneration, Leibniz algebra, Lie algebra, Orbit closure, Rigid algebra, orbit closure, anticommutative algebra, NILPOTENT LIE-ALGEBRAS, CLASSIFICATION, degeneration, rigid algebra

Scopus subject areas

Mathematics(all)

ID: 46017513