Simple Restricted Modules for the Deformed 𝔟𝔪𝔰₃ Algebra

Abstract

In this paper, we construct a large class of simple restricted modules over the deformed 𝔟𝔪𝔰3 algebra ℬ, which contain the highest weight modules and Whittaker modules. Moreover, we obtain several equivalent statements for simple restricted modules over ℬ.

Keywords

• deformed \({\mathfrak{bms}_3}\) algebra
• restricted module
• simple module