$h$-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
2 Citations
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