paper

Deformed quantum vertex algebra modules associated with braidings

arXiv:2405.04137 · doi:10.1016/j.aim.2026.111224

Abstract

We introduce the notion of deformed quantum vertex algebra module associated with a braiding map. We construct two families of braiding maps over the Etingof-Kazhdan quantum vertex algebras associated with the rational -matrices of classical types. We investigate their properties and demonstrate the applications of the corresponding deformed modules to the (generalized) Yangians and reflection algebras.

26 pages, minor changes and corrections, comments are welcome

Deformed quantum vertex algebra modules associated with braidings · wovepaper