4 citations · 14 across the 7 of their papers we have counts for
7 papers
Quantization of Gamma-Lie bialgebras
B. Enriquez, G. Halbout
We introduce the notion of Gamma-Lie bialgebra, where Gamma is a group. These objects give rise to cocommutative co-Poisson algebras, for which we construct quantization functors.…
Comparison of Poisson structures and Poisson-Lie dynamical r-matrices
B. Enriquez, P. Etingof, I. Marshall
We construct a Poisson isomorphism between the formal Poisson manifolds g^* and G^*, where g is a finite dimensional quasitriangular Lie bialgebra. Here g^* is equipped with its Li…
On the invertibility of quantization functors
B. Enriquez, P. Etingof
Certain quantization problems are equivalent to the construction of morphisms from "quantum" to "classical" props. Once such a morphism is constructed, Hensel's lemma shows that it…
A cohomological construction of quantization functors of Lie bialgebras
B. Enriquez
We propose a variant to the Etingof-Kazhdan construction of quantization functors. We construct the twistor J_Φassociated to an associator Φusing cohomological techniques. We then…
Quantization of canonical cones of algebraic curves
B. Enriquez, A. Odesskii
We introduce a quantization of the graded algebra of functions on the canonical cone of an algebraic curve C, based on the theory of formal pseudodifferential operators. When C is…
Quasi-Hopf algebras associated with semisimple Lie algebras and complex curves
B. Enriquez
We construct quasi-Hopf algebras associated with a semisimple Lie algebra, a complex curve and a rational differential. This generalizes our previous joint work with V. Rubtsov (Is…