Degenerations of Leibniz and Anticommutative Algebras

DOI10.4153/S0008439519000018zbMath1477.17020arXiv1808.00907OpenAlexW2951480292WikidataQ123301929 ScholiaQ123301929MaRDI QIDQ5242564

Yury Volkov, I. B. Kaĭgorodov, Nurlan Ismailov

Publication date: 12 November 2019

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.00907

zbMATH Keywords

Lie algebradegenerationLeibniz algebraorbit closurerigid algebraanticommutative algebra

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Fibrations, degenerations in algebraic geometry (14D06) Leibniz algebras (17A32)

Related Items (24)

The algebraic and geometric classification of nilpotent bicommutative algebras ⋮ The algebraic and geometric classification of nilpotent Novikov algebras ⋮ The algebraic and geometric classification of transposed Poisson algebras ⋮ The algebraic and geometric classification of nilpotent Lie triple systems up to dimension four ⋮ Abelian subalgebras and ideals of maximal dimension in solvable Leibniz algebras ⋮ Degenerations of Filippov algebras ⋮ Anticommutative algebras of the third level ⋮ Degenerations of noncommutative Heisenberg algebras ⋮ The algebraic classification of nilpotent Tortkara algebras ⋮ The algebraic classification of nilpotent associative commutative algebras ⋮ The variety of dual mock-Lie algebras ⋮ Degenerations of nilpotent algebras ⋮ The algebraic and geometric classification of nilpotent anticommutative algebras ⋮ The geometric classification of nilpotent ℭ𝔇-algebras ⋮ The algebraic and geometric classification of nilpotent noncommutative Jordan algebras ⋮ The algebraic and geometric classification of nilpotent left-symmetric algebras ⋮ The algebraic and geometric classification of nilpotent assosymmetric algebras ⋮ The geometric classification of nilpotent Tortkara algebras ⋮ The classification of 2-dimensional rigid algebras ⋮ Degenerations of nilpotent associative commutative algebras ⋮ The algebraic and geometric classification of nilpotent right alternative algebras ⋮ The Variety of Nilpotent Tortkara Algebras ⋮ Classification of a family of 4-dimensional anti-commutative algebras and their automorphisms ⋮ Classification of (2n−1)-dimensional solvable Leibniz algebras with n-dimensional nilradical

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