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

DOI10.1080/00927870701665339zbMath1138.14009arXivmath/0606644OpenAlexW1567477706MaRDI QIDQ5444898

Alice Fialowski, Marilyn Daily, Michael Penkava

Publication date: 26 February 2008

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

Full work available at URL: https://arxiv.org/abs/math/0606644

zbMATH Keywords

graded algebras\(L_\infty\)-algebras

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

THE MODULI SPACE OF 1|1-DIMENSIONAL COMPLEX ASSOCIATIVE ALGEBRAS

Cites Work

• The intrinsic bracket on the deformation complex of an associative algebra
• Introduction to sh Lie algebras for physicists
• 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
• Examples of miniversal deformations of infinity algebras

This page was built for publication: Comparison of 3-Dimensional ℤ-Graded and ℤ₂-GradedL_∞Algebras