7 citations · 13 across the 7 of their papers we have counts for
7 papers
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…
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…
Quantization of some Poisson-Lie dynamical r-matrices and Poisson homogeneous spaces
B. Enriquez, P. Etingof, I. Marshall
Poisson-Lie (PL) dynamical r-matrices are generalizations of dynamical r-matrices, where the base is a Poisson-Lie group. We prove analogues of basic results for these r-matrices,…
Quantization of classical dynamical -matrices with nonabelian base
B. Enriquez, P. Etingof
We construct some classes of dynamical -matrices over a nonabelian base, and quantize some of them by constructing dynamical (pseudo)twists in the sense of Xu. This way, we obta…
Quantization of Alekseev-Meinrenken dynamical r-matrices
Benjamin Enriquez, Pavel Etingof
We quantize the Alekseev-Meinrenken solution r to the classical dynamical Yang-Baxter equation, associated to a Lie algebra g with an element t in S^2(g)^g. Namely, we construct a…
Poisson algebras associated to quasi-Hopf algebras
B. Enriquez, G. Halbout
We define admissible quasi-Hopf quantized universal enveloping (QHQUE) algebras by h-adic valuation conditions. We show that any QHQUE algebra is twist-equivalent to an admissible…