DEFORMATIONS OF FOUR-DIMENSIONAL LIE ALGEBRAS

DOI10.1142/S0219199707002344zbMath1127.14014arXivmath/0512354OpenAlexW2963393919MaRDI QIDQ3444873

Michael Penkava, Alice Fialowski

Publication date: 5 June 2007

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512354

zbMATH Keywords

deformationsLie algebras

Mathematics Subject Classification ID

Homological methods in Lie (super)algebras (17B55) Cohomology of Lie (super)algebras (17B56) Deformations and infinitesimal methods in commutative ring theory (13D10) Formal methods and deformations in algebraic geometry (14D15) Local deformation theory, Artin approximation, etc. (14B12)

Related Items (15)

On singular formal deformations ⋮ The moduli space of complex 5-dimensional Lie algebras ⋮ THE MODULI SPACE OF 1|1-DIMENSIONAL COMPLEX ASSOCIATIVE ALGEBRAS ⋮ On the cohomology of Lie algebras with an invariant inner product ⋮ On cohomology and deformations of Jacobi-Jordan algebras ⋮ On the classification of 3-dimensional complex hom-Lie algebras ⋮ About Leibniz cohomology and deformations of Lie algebras ⋮ Formal deformations, contractions and moduli spaces of Lie algebras ⋮ Transformation groups on real plane and their differential invariants ⋮ On deformations of Lie algebroids ⋮ Extensions of associative algebras ⋮ Geometry of central extensions of nilpotent Lie algebras ⋮ The Moduli Space of 3-Dimensional Associative Algebras ⋮ EXTENSIONS OF (SUPER) LIE ALGEBRAS ⋮ Moduli spaces of low dimensional real Lie algebras

Cites Work

• Construction of miniversal deformations of Lie algebras
• Classification of orbit closures of 4-dimensional complex Lie algebras
• An algorithm to determine the isomorphism classes of 4-dimensional complex Lie algebras
• Deformation theory of infinity algebras.
• VERSAL DEFORMATIONS OF THREE-DIMENSIONAL LIE ALGEBRAS AS L_∞ALGEBRAS
• Classification of real and complex nilpotent lie algebras of dimension 7
• DEFORMATIONS OF LIE ALGEBRAS
• Realizations of real low-dimensional Lie algebras

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