Abstract
A homotopy analogue of the notion of a triangular Lie bialgebra is proposed with a goal of extending basic notions of the 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∞-group.
Mathematics Subject Classification (2010). Primary 17B37, 17B62; Secondary 17B63, 18G55, 58A50.
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© 2015 Springer International Publishing Switzerland
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Bashkirov, D., Voronov, A.A. (2015). r ∞-Matrices, Triangular L ∞-Bialgebras and Quantum∞ Groups. In: Kielanowski, P., Bieliavsky, P., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-18212-4_2
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DOI: https://doi.org/10.1007/978-3-319-18212-4_2
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-18211-7
Online ISBN: 978-3-319-18212-4
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