Classification of Quasi-Finite Irreducible Modules over Affine Virasoro Algebras | Synapse
March 29, 2026Open Access
Classification of Quasi-Finite Irreducible Modules over Affine Virasoro Algebras
Key Points
This research aims to classify quasi-finite irreducible modules over affine Virasoro algebras.
Classified quasi-finite irreducible modules
Examined characteristics of highest weight, lowest weight, and loop modules
All identified modules are categorized as highest weight, lowest weight, or loop modules.
Abstract
We give a complete classification of quasi-finite irreducible modules over affine Virasoro algebras.It is shown that they are all highest weight modules, lowest weight modules, or loop modules.