Degenerations of noncommutative Heisenberg algebras

DOI10.1080/00927872.2023.2202752OpenAlexW4367041816MaRDI QIDQ6164552

Yury Volkov, I. B. Kaĭgorodov

Publication date: 28 July 2023

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2023.2202752

zbMATH Keywords

degenerationnilpotent algebra\(n\)-ary algebranoncommutative Heisenberg algebra

Mathematics Subject Classification ID

Fibrations, degenerations in algebraic geometry (14D06) Group actions on affine varieties (14R20) Nonassociative algebras satisfying other identities (17A30) Ternary compositions (17A40)

Related Items (1)

Derivations of two-step nilpotent algebras

Cites Work

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• The action of a compact Lie group on nilpotent Lie algebras of type \(\{n,2\}\)
• On non-singular 2-step nilpotent Lie algebras
• Nilpotent Lie algebras with 2-dimensional commutator ideals
• \(n\)-Lie algebras
• Varieties of nilpotent Lie algebras of dimension less than six
• A characterization of orbit closure and applications
• The algebraic and geometric classification of associative algebras of dimension five
• Classification of orbit closures of 4-dimensional complex Lie algebras
• Noncommutative Heisenberg algebra in the neighbourhood of a generic null surface
• Two-step nilpotent Leibniz algebras
• Generalized Heisenberg algebra, realizations of the \(\mathfrak{gl}(N)\) algebra and applications
• The variety of dual mock-Lie algebras
• Almost inner derivations of 2-step nilpotent Lie algebras of genus 2
• Degenerations of nilpotent algebras
• Degenerations of 8-dimensional 2-step nilpotent Lie algebras
• Canonical matrices of bilinear and sesquilinear forms
• Algebraic geography: Varieties of structure constants
• On the deformation of rings and algebras
• The geometric classification of 2-step nilpotent algebras and applications
• Degenerations of 6-dimensional nilpotent lie algebras over C
• 2-Nilpotent and Rigid Finite Dimensional Algebras
• Quantum generalized Heisenberg algebras and their representations
• Degenerations of Filippov algebras
• On geometric degenerations and Gerstenhaber formal deformations
• Degenerations of nilpotent associative commutative algebras
• Degenerations of Leibniz and Anticommutative Algebras
• Cohomology and deformations in graded Lie algebras

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