Extensions of L ∞ algebras of two even and one odd dimension

DOI10.1515/FORUM.2008.034zbMath1153.14010arXivmath/0403302OpenAlexW2156265713MaRDI QIDQ3529866

Alice Fialowski, Michael Penkava

Publication date: 14 October 2008

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

Full work available at URL: https://arxiv.org/abs/math/0403302

zbMATH Keywords

\(L_{\infty }\) algebraodd codifferentialssymmetric algebra of codifferentials

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)

Strongly homotopy Lie algebras of one even and two odd dimensions

Cites Work

• The Lie algebra structure of tangent cohomology and deformation theory
• The \(sh\) Lie structure of Poisson brackets in field theory
• Courant algebroids and strongly homotopy Lie algebras
• Introduction to sh Lie algebras for physicists
• sh-Lie algebras induced by gauge transformations
• Strongly homotopy Lie algebras of one even and two odd dimensions
• Deformation theory of infinity algebras.
• VERSAL DEFORMATIONS OF THREE-DIMENSIONAL LIE ALGEBRAS AS L_∞ALGEBRAS
• L_∞Structures on Spaces with Three One-Dimensional Components
• Strongly homotopy lie algebras
• Loop homotopy algebras in closed string field theory

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