46 citations · 168 across the 11 of their papers we have counts for
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math.QA2014★ 11 cited
r-Matrices, triangular L-bialgebras, and quantum groups
Denis Bashkirov, Alexander A. Voronov
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 algebr…
math.QA2008★ 7 cited
A mapping from the unitary to doubly stochastic matrices and symbols on a finite set
Alexander V. Karabegov
We prove that the mapping from the unitary to the doubly stochastic matrices that maps a unitary matrix (u_{kl}) to the doubly stochastic matrix (|u_{kl}|^2) is a submersion for al…
math.QA2007★ 41 cited
On weak Lie 2-algebras
Dmitry Roytenberg
A Lie 2-algebra is a linear category equipped with a functorial bilinear operation satisfying skew-symmetry and Jacobi identity up to natural transformations which themselves obey…