The geometric classification of nilpotent ℭ𝔇-algebras

DOI10.1142/S021949882150198XzbMath1505.17003arXiv2007.01829OpenAlexW3123504717MaRDI QIDQ5163432

Mykola Khrypchenko, I. B. Kaĭgorodov

Publication date: 4 November 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.01829

zbMATH Keywords

Lie algebradegenerationJordan algebranilpotent algebrageometric classificationCD-algebra

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30) Jordan structures associated with other structures (17C50) Nonassociative algebras satisfying other identities (17A30) Other nonassociative rings and algebras (17D99)

Related Items (1)

The geometric classification of nilpotent commutative \(\mathfrak{CD}\)-algebras

Cites Work

• Unnamed Item
• The algebraic and geometric classification of nilpotent bicommutative algebras
• The classification of algebras of level two
• Varieties of nilpotent Lie algebras of dimension less than six
• A characterization of orbit closure and applications
• Lie triple algebras
• Classification of orbit closures of 4-dimensional complex Lie algebras
• The algebraic and geometric classification of nilpotent anticommutative algebras
• The algebraic and geometric classification of nilpotent terminal algebras
• The algebraic and geometric classification of nilpotent assosymmetric algebras
• The variety of dual mock-Lie algebras
• The cohomology structure of an associative ring
• The algebraic and geometric classification of nilpotent Novikov algebras
• Lie triple algebras with one generator
• On anticommutative algebras for which \([R_a,R_b\) is a derivation]
• On classification of four-dimensional nilpotent Leibniz algebras
• Almost Jordan Rings
• The Wedderburn Principal Theorem for Generalized Almost-Jordan Algebras
• Degenerations of 6-dimensional nilpotent lie algebras over C
• On Nilpotency of Generalized Almost-Jordan Right-Nilalgebras
• The geometric classification of Leibniz algebras
• On a ternary generalization of Jordan algebras
• Degenerations of Zinbiel and nilpotent Leibniz algebras
• Assosymmetric algebras under Jordan product
• Degenerations of binary Lie and nilpotent Malcev algebras
• Anticommutative Engel algebras of the first five levels
• Degenerations of Filippov algebras
• Complete classification of algebras of level two
• The algebraic classification of nilpotent Tortkara algebras
• The geometric classification of nilpotent Tortkara algebras
• The classification of 2-dimensional rigid algebras
• Degenerations of nilpotent associative commutative algebras
• The Variety of Two-dimensional Algebras Over an Algebraically Closed Field
• The algebraic and geometric classification of nilpotent binary Lie algebras
• Degenerations of Leibniz and Anticommutative Algebras
• ON LEFT NILALGEBRAS OF LEFT NILINDEX FOUR SATISFYING AN IDENTITY OF DEGREE FOUR
• CLASSIFICATION OF ORBIT CLOSURES IN THE VARIETY OF THREE-DIMENSIONAL NOVIKOV ALGEBRAS
• The algebraic classification of nilpotent commutative CD-algebras

This page was built for publication: The geometric classification of nilpotent ℭ𝔇-algebras