r$_\infty$-Matrices, triangular L$_\infty$-bialgebras, and quantum$_\infty$ groups
Quantum Algebra
2016-08-09 v3 Algebraic Topology
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-group.
Keywords
Cite
@article{arxiv.1412.2413,
title = {r$_\infty$-Matrices, triangular L$_\infty$-bialgebras, and quantum$_\infty$ groups},
author = {Denis Bashkirov and Alexander A. Voronov},
journal= {arXiv preprint arXiv:1412.2413},
year = {2016}
}
Comments
9 pages; published version: an example added, references updated