Representations of twisted current algebras

TL;DR

This paper classifies all finite-dimensional simple modules of twisted current algebras using evaluation representations, unifying various recent results in related algebraic structures.

Contribution

It provides a comprehensive classification that generalizes previous work on multiloop, current, equivariant map algebras, and twisted forms.

Findings

Complete classification of simple modules achieved

Unified framework for various algebraic structures

Extends understanding of twisted current algebra representations

Abstract

We use evaluation representations to give a complete classification of the finite-dimensional simple modules of twisted current algebras. This generalizes and unifies recent work on multiloop algebras, current algebras, equivariant map algebras, and twisted forms.