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math.QA2005
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…
math.QA2001
On some universal algebras associated to the category of Lie bialgebras
B. Enriquez
In our previous work (math/0008128), we studied the set Quant(K) of all universal quantization functors of Lie bialgebras over a field K of characteristic zero, compatible with dua…
math.QA2000
Quantum homogeneous spaces and quasi-Hopf algebras
B. Enriquez, Y. Kosmann-Schwarzbach
We propose a formulation of the quantization problem of Manin quadruples, and show that a solution to this problem yields a quantization of the corresponding Poisson homogeneous sp…