r ∞-Matrices, Triangular L ∞-Bialgebras and Quantum∞ Groups

DOI10.1007/978-3-319-18212-4_2zbMath1407.17015OpenAlexW2318847076MaRDI QIDQ3460589

Alexander A. Voronov, Denis Bashkirov

Publication date: 8 January 2016

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-18212-4_2

zbMATH Keywords

quantum groupYang-Baxter equationquantizationuniversal enveloping algebratriangular Lie bialgebraLie bialgebraMaurer-Cartan equation\(L_\infty\)-algebraclassical \(r\)-matrix\(L_\infty\)-bialgebraco-Poisson-Hopf algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Supermanifolds and graded manifolds (58A50) Lie bialgebras; Lie coalgebras (17B62) Poisson algebras (17B63)

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