Review of deformation theory I: Concrete formulas for deformations of algebraic structures

zbMath1463.16046arXiv1911.04611MaRDI QIDQ5129373

Ai Guan, Lazarev Andrey, Rong Tang, Yun He Sheng

Publication date: 27 October 2020

Full work available at URL: https://arxiv.org/abs/1911.04611

zbMATH Keywords

cohomologyLie algebradeformationassociative algebraLeibniz algebraMaurer-Cartan element3-Lie algebra

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Deformations of associative rings (16S80) Differential graded algebras and applications (associative algebraic aspects) (16E45) Cohomology of Lie (super)algebras (17B56)

Related Items

Non-abelian extensions of pre-Lie algebras, The L∞-deformations of associative Rota–Baxter algebras and homotopy Rota–Baxter operators, A survey on deformations, cohomologies and homotopies of relative Rota–Baxter Lie algebras, Bimodules over relative Rota-Baxter algebras and cohomologies, Maurer-Cartan characterizations and cohomologies of compatible Lie algebras, Unnamed Item, The controlling \(L_\infty \)-algebra, cohomology and homotopy of embedding tensors and Lie-Leibniz triples