Quantum current algebras associated with rational $R$-matrix

@inproceedings{Kovzic2018QuantumCA,
  title={Quantum current algebras associated with rational \$R\$-matrix},
  author={Slaven Kovzi'c},
  year={2018}
}
We study quantum current algebra A(R) associated with rational R-matrix and we give explicit formulae for the elements of its center at the critical level. Due to Etingof–Kazhdan’s construction, the level c vacuum module Vc(R) for the algebra A(R) possesses a quantum vertex algebra structure for any complex number c. We prove that any module for the quantum vertex algebra Vc(R) is naturally equipped with a structure of restricted A(R)-module of level c and vice versa. 
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