Categorification of Pre-Lie Algebras and Solutions of 2-graded Classical Yang-Baxter Equations

zbMath1408.17009arXiv1403.2144MaRDI QIDQ4631635

Yun He Sheng

Publication date: 16 April 2019

Full work available at URL: https://arxiv.org/abs/1403.2144

zbMATH Keywords

Lie 2-algebras\(\mathcal{O}\)-operators2-algebras2-graded classical Yang-Baxter equationspre-Lie\(_\infty\)-algebras

Mathematics Subject Classification ID

Lie algebras and Lie superalgebras (17B99) Chain complexes in algebraic topology (55U15)

Related Items (10)

The L∞-deformations of associative Rota–Baxter algebras and homotopy Rota–Baxter operators ⋮ Cohomologies and crossed modules for pre-Lie Rinehart algebras ⋮ Representations and cohomologies of relative Rota-Baxter Lie algebras and applications ⋮ Deformations and homotopy theory of relative Rota-Baxter Lie algebras ⋮ Homotopy Rota-Baxter operators and post-Lie algebras ⋮ A survey on deformations, cohomologies and homotopies of relative Rota–Baxter Lie algebras ⋮ Bimodules over relative Rota-Baxter algebras and cohomologies ⋮ Cohomologies of relative Rota-Baxter Lie algebras with derivations and applications ⋮ Unnamed Item ⋮ Pre-symplectic algebroids and their applications

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