# Finite dimensional simple modules of deformed current Lie algebras

## TL;DR

This paper classifies all finite dimensional simple modules of deformed current Lie algebras, advancing understanding of their representation theory and connections to cyclotomic q-Schur algebras.

## Contribution

It provides a complete classification of finite dimensional simple modules for deformed current Lie algebras, a new development in their representation theory.

## Key findings

- Complete classification of finite dimensional simple modules
- Enhanced understanding of deformed current Lie algebra representations
- Connections to cyclotomic q-Schur algebras at q=1

## Abstract

The deformed current Lie algebra was introduced by the author to study the representation theory of cyclotomic q-Schur algebras at q=1. In this paper, we classify finite dimensional simple modules of deformed current Lie algebras.