The moduli space of complex 5-dimensional Lie algebras

DOI10.1016/J.JALGEBRA.2016.03.029zbMath1339.14012arXiv1510.00285OpenAlexW2963674520WikidataQ115350774 ScholiaQ115350774MaRDI QIDQ290447

Michael Penkava, Alice Fialowski

Publication date: 1 June 2016

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

Full work available at URL: https://arxiv.org/abs/1510.00285

zbMATH Keywords

orbifoldsolvable Lie algebranilpotent Lie algebrasversal deformationcocycle conditioncompability conditioncomplex finite dimensional Lie algebrasjump deformationMaurer-Cartan conditionmoduli of algebrasstratification of moduli

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Homological methods in Lie (super)algebras (17B55) Graded Lie (super)algebras (17B70) Deformations of associative rings (16S80) 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 (5)

On the cohomology of Lie algebras with an invariant inner product ⋮ Stratification of moduli spaces of Lie algebras, similar matrices and bilinear forms ⋮ Almost inner derivations of Lie algebras ⋮ Geometry of central extensions of nilpotent Lie algebras ⋮ Moduli spaces of low-dimensional Lie superalgebras

Cites Work

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• Classification of orbit closures of 4-dimensional complex Lie algebras
• An algorithm to determine the isomorphism classes of 4-dimensional complex Lie algebras
• VERSAL DEFORMATIONS OF THREE-DIMENSIONAL LIE ALGEBRAS AS L_∞ALGEBRAS
• DEFORMATIONS OF FOUR-DIMENSIONAL LIE ALGEBRAS
• Invariants of real low dimension Lie algebras
• Classification and Identification of Lie Algebras

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