$h$-adic quantum vertex algebras associated with rational $R$-matrix in types $B$, $C$ and $D$

@article{Butorac2019hadicQV,
title={\$h\$-adic quantum vertex algebras associated with rational \$R\$-matrix in types \$B\$, \$C\$ and \$D\$},
author={Marijana Butorac and N. Jing and Slaven Kovzi'c},
journal={arXiv: Quantum Algebra},
year={2019}
}

We introduce the $h$-adic quantum vertex algebras associated with the rational $R$-matrix in types $B$, $C$ and $D$, thus generalizing the Etingof--Kazhdan's construction in type $A$. Next, we construct the algebraically independent generators of the center of the $h$-adic quantum vertex algebra in type $B$ at the critical level, as well as the families of central elements in types $C$ and $D$. Finally, as an application, we obtain commutative subalgebras of the dual Yangian and the families of… Expand