Examples of miniversal deformations of infinity algebras

DOI10.1515/FORUM.2007.019zbMath1138.14010arXivmath/0510325OpenAlexW1984348650MaRDI QIDQ5444001

Michael Penkava, Alice Fialowski

Publication date: 22 February 2008

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510325

zbMATH Keywords

infinitesimal deformationsminiversal deformationsformal deformationsMassey powers

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 (1)

Comparison of 3-Dimensional ℤ-Graded and ℤ₂-GradedL_∞Algebras

Cites Work

• Construction of miniversal deformations of Lie algebras
• From local to global deformation quantization of Poisson manifolds
• Strongly homotopy Lie algebras of one even and two odd dimensions
• Deformation theory of infinity algebras.
• On the deformation of rings and algebras
• VERSAL DEFORMATIONS OF THREE-DIMENSIONAL LIE ALGEBRAS AS L_∞ALGEBRAS
• DEFORMATIONS OF LIE ALGEBRAS
• Versal deformation of the Lie algebra \(L_2\)

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