36 citations · 39 across the 6 of their papers we have counts for
6 papers
Basic representations of quantum current algebras in higher genus
B. Enriquez, S. Pakuliak, V. Rubtsov
We construct level 1 basic representations of the quantized current algebras associated to higher genus algebraic curves using one free field. We also clarify the relation between…
Equivariant cohomology and localization for Lie algebroids
U. Bruzzo, L. Cirio, P. Rossi +1
Let M be a manifold carrying the action of a Lie group G, and A a Lie algebroid on M equipped with a compatible infinitesimal G-action. Out of these data we construct an equivarian…
Commuting families in skew fields and quantization of Beauville's fibration
B. Enriquez, V. Rubtsov
We construct commuting families in fraction fields of symmetric powers of algebras. The classical limit of this construction gives Poisson commuting families associated with linear…
Quantum groups in higher genus and Drinfeld's new realizations method ( case)
B. Enriquez, V. Rubtsov
We define double (central and cocentral) extensions of Manin pairs introduced by Drinfeld, attached to curves and meromorphic differentials. We define ``infinite twistings'' of the…
Compatible Poisson-Lie structures on the loop group of
B. Enriquez, V. N. Rubtsov
We define a 1-parameter family of -matrices on the loop algebra of , defining compatible Poisson structures on the associated loop group, which degenerate into the ratio…
Dispersionful analogues of Benney's equations and -wave systems
B. Enriquez, A. Yu. Orlov, V. N. Rubtsov
We recall Krichever's construction of additional flows to Benney's hierarchy, attached to poles at finite distance of the Lax operator. Then we construct a ``dispersionful'' analog…