Vertex algebras associated with elliptic affine Lie algebras

math.QA

/ Authors

/ Abstract

We associate elliptic affine Lie algebras with what are called vertex $\C((z))$-algebras and their modules in a certain category. In the course, we construct two families of Lie algebras closely related to elliptic affine Lie algebras.

Vertex algebras associated with elliptic affine Lie algebras

math.QA

/ Authors

Haisheng Li, Jiancai Sun

/ Abstract

We associate elliptic affine Lie algebras with what are called vertex $\C((z))$-algebras and their modules in a certain category. In the course, we construct two families of Lie algebras closely related to elliptic affine Lie algebras.