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arXiv · 2107.10184

$h$-adic quantum vertex algebras in types $B$, $C$, $D$ and their $\phi$-coordinated modules

Slaven Kožić
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Abstract

We introduce the $h$-adic quantum vertex algebras associated with the trigonometric $R$-matrices in types $B$, $C$ and $D$, thus generalizing the well-known Etingof-Kazhdan construction in type $A$. We show that restricted modules for quantum affine algebras in types $B$, $C$ and $D$ are naturally equipped with the structure of $\phi$-coordinated module for the aforementioned $h$-adic quantum vertex algebras.

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Slaven Kožić. 2021-07-21. $h$-adic quantum vertex algebras in types $B$, $C$, $D$ and their $\phi$-coordinated modules. https://doi.org/10.1088/1751-8121%2Fac333b

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