For a study of definable representations of algebraic groups

TL;DR

This paper classifies certain low-dimensional irreducible modules of SL(2,K) with low Morley rank, aiming to advance understanding of definable representations of algebraic groups.

Contribution

It provides a classification of irreducible SL(2,K)-modules with low Morley rank, contributing to the broader study of algebraic group representations.

Findings

Classified irreducible SL(2,K)-modules of low Morley rank

Established foundational results for low-rank modules

Paved the way for broader conjectures in the field

Abstract

We classify irreducible SL(2,K)-modules of low Morley rank (at most 4.rk(K)) as a first step towards a more general conjecture.