The Variety of Two-dimensional Algebras Over an Algebraically Closed Field

DOI10.4153/S0008414X18000056zbMath1440.17027arXiv1701.08233OpenAlexW2584513400MaRDI QIDQ5224974

I. B. Kaĭgorodov, Yury Volkov

Publication date: 25 July 2019

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.08233

zbMATH Keywords

degenerationorbit closurerigid algebratwo-dimensional algebras

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Algebraic moduli problems, moduli of vector bundles (14D20) Solvable, nilpotent (super)algebras (17B30) Mal'tsev rings and algebras (17D10)

Related Items (42)

The algebraic classification of nilpotent ℭ𝔇-algebras ⋮ The algebraic and geometric classification of nilpotent bicommutative algebras ⋮ On the classification of bilinear maps with radical of a fixed codimension ⋮ One-generated nilpotent Novikov algebras ⋮ One-generated nilpotent assosymmetric algebras ⋮ The geometric classification of Leibniz algebras ⋮ Central extensions of filiform Zinbiel algebras ⋮ Gelfand-Kirillov dimension of bicommutative algebras ⋮ Tensor product of evolution algebras ⋮ The algebraic and geometric classification of nilpotent Lie triple systems up to dimension four ⋮ Degenerations of Filippov algebras ⋮ Canonical Form Algorithm and Separating Systems for Two-Dimensional Algebras ⋮ The geometric classification of nilpotent algebras ⋮ The algebraic classification of nilpotent Tortkara algebras ⋮ One-generated nilpotent terminal algebras ⋮ Subalgebras, idempotents, ideals and quasi-units of two-dimensional algebras ⋮ Identities on two-dimensional 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 weakly associative and symmetric Leibniz algebras ⋮ Degenerations of Zinbiel and nilpotent Leibniz algebras ⋮ The algebraic and geometric classification of nilpotent anticommutative algebras ⋮ Unified computational approach to nilpotent algebra classification problems ⋮ The geometric classification of nilpotent ℭ𝔇-algebras ⋮ The algebraic and geometric classification of nilpotent noncommutative Jordan algebras ⋮ The algebraic and geometric classification of nilpotent terminal algebras ⋮ Degenerations of Jordan superalgebras ⋮ 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 ⋮ \(n\)-ary algebras of the first level ⋮ Degenerations of nilpotent associative commutative algebras ⋮ The algebraic classification of nilpotent commutative algebras ⋮ The algebraic and geometric classification of nilpotent binary Lie algebras ⋮ The algebraic and geometric classification of nilpotent right alternative algebras ⋮ Degenerations of Leibniz and Anticommutative Algebras ⋮ The Variety of Nilpotent Tortkara Algebras ⋮ The algebraic classification of nilpotent commutative CD-algebras ⋮ The algebraic classification and degenerations of nilpotent Poisson algebras ⋮ Anticommutative Engel algebras of the first five levels

Cites Work

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• Classification and Identification of Lie Algebras

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