Review of deformation theory II: a homotopical approach

zbMath1463.18001arXiv1912.04028MaRDI QIDQ5129374

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

Publication date: 27 October 2020

Full work available at URL: https://arxiv.org/abs/1912.04028

zbMATH Keywords

Lie algebradeformationassociative algebramodel categoryMaurer-Cartan element

Mathematics Subject Classification ID

Cohomology of Lie (super)algebras (17B56) Research exposition (monographs, survey articles) pertaining to category theory (18-02) Homotopical algebra, Quillen model categories, derivators (18N40) Other (co)homology theories (category-theoretic aspects) (18G90)

Related Items (6)

Homotopy relative Rota-Baxter lie algebras, triangular 𝐿_{∞}-bialgebras and higher derived brackets ⋮ The L∞-deformations of associative Rota–Baxter algebras and homotopy Rota–Baxter operators ⋮ Deformations and homotopy theory of relative Rota-Baxter Lie algebras ⋮ A survey on deformations, cohomologies and homotopies of relative Rota–Baxter Lie algebras ⋮ Bimodules over relative Rota-Baxter algebras and cohomologies ⋮ The derived deformation theory of a point

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