70 citations · 345 across the 56 of their papers we have counts for
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math.RA2005★ 43 cited
Groups and Lie algebras corresponding to the Yang-Baxter equations
Laurent Bartholdi, Benjamin Enriquez, Pavel Etingof +1
For a positive integer n we introduce quadratic Lie algebras tr_n qtr_n and discrete groups Tr_n, QTr_n naturally associated with the classical and quantum Yang-Baxter equation, re…
math.QA2005
Coboundary Lie bialgebras and commutative subalgebras of universal enveloping algebras
B. Enriquez, G. Halbout
We solve a functional version of the problem of twist quantization of a coboundary Lie bialgebra (g,r,Z). We derive from this the following results: (a) the formal Poisson manifold…
math.QA2005★ 1 cited
On the Drinfeld generators of grt_1(k) and Gamma-functions for associators
B. Enriquez
We prove that the Drinfeld generators of grt_1(k) span the image of this Lie algebra in the abelianization of the commutator of the free Lie algebra with two generators. We show th…