On new classes of quantum vertex algebras

Abstract: We present the construction of a new class of quantum vertex algebras associated with a normalized Yang R-matrix. They are obtained as Yangian deformations of certain S-commutative quantum vertex algebras and their S-locality takes the form of a single RTT relation. We establish some preliminary results on their representation theory and then further investigate their braiding map. These results were obtained jointly with Slaven Kožić. Then we will discuss a recent generalization of these results to the case of the type A trigonometric R-matrix. These results were obtained jointly with Marijana Butorac and Slaven Kožić.

quantum algebrarings and algebras

Audience: researchers in the topic

European Non-Associative Algebra Seminar