r$_\infty$-Matrices, triangular L$_\infty$-bialgebras, and quantum$_\infty$ groups

Alexander A. Voronov; Denis Bashkirov

arxiv: 1412.2413 · v3 · pith:FCUZCK7Bnew · submitted 2014-12-07 · 🧮 math.QA · math.AT

r_infty-Matrices, triangular L_infty-bialgebras, and quantum_infty groups

Denis Bashkirov , Alexander A. Voronov This is my paper

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keywords inftyquantumgroupgroupshomotopynotiontriangularalgebras

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A homotopy analogue of the notion of a triangular Lie bialgebra is proposed with a goal of extending the basic notions of theory of quantum groups to the context of homotopy algebras and, in particular, introducing a homotopical generalization of the notion of a quantum group, or quantum$_\infty$-group.

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r_infty-Matrices, triangular L_infty-bialgebras, and quantum_infty groups

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