## Center of the quantum affine vertex algebra associated with trigonometric $$R$$-matrix

### Slaven Kožić and Alexander Molev

#### Abstract

We consider the quantum vertex algebra associated with the trigonometric $$R$$-matrix in type $$A$$ as defined by Etingof and Kazhdan. We show that its center is a commutative associative algebra and construct an algebraically independent family of topological generators of the center at the critical level.

This paper is available as a pdf (376kB) file.

 Tuesday, November 22, 2016