On certain categories of modules for twisted affine Lie algebras

TL;DR

This paper classifies specific modules for twisted affine Lie algebras, unifying various known modules and expanding understanding of their structure.

Contribution

It provides a comprehensive classification of integrable irreducible modules in categories E and C, including evaluation modules and their tensor products.

Findings

Category E contains well-known evaluation modules

Category C unifies highest weight, evaluation, and tensor product modules

Complete classification of integrable irreducible modules in these categories

Abstract

We classify integrable irreducible $\hat{g}[\sigma]$-modules in categories E and C, where E is proved to contain the well known evaluation modules and C to unify highest weight modules, evaluation modules and their tensor product modules.