On the Heisenberg algebra associated with the rational $R$-matrix

Abstract

We associate a deformation of Heisenberg algebra to the suitably normalized Yang $R$-matrix and we investigate its properties. Moreover, we construct new examples of quantum vertex algebras which possess the same representation theory as the aforementioned deformed Heisenberg algebra.

24 pages, comments are welcome

References in corpus (3)

• On the structure of quantum vertex algebras
• Quantum current algebras associated with rational $R$-matrix
• Associating quantum vertex algebras to certain deformed Heisenberg Lie algebras