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

Denis Bashkirov; Alexander A. Voronov

doi:10.1007/978-3-319-18212-4

paper

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

arXiv:1412.2413 · doi:10.1007/978-3-319-18212-4

Abstract

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.

9 pages; published version: an example added, references updated

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r∞​-Matrices, triangular L∞​-bialgebras, and quantum∞​ groups

Abstract

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