Irreducible representations of simple Lie algebras with maximum weight multiplicity 2

TL;DR

This paper classifies irreducible representations of simple Lie algebras where the maximum weight multiplicity is exactly two, providing a complete characterization of such representations.

Contribution

It offers a complete classification of simple Lie algebra representations with maximum weight multiplicity 2, a previously unexplored area.

Findings

Identifies all irreducible representations with max weight multiplicity 2

Provides explicit descriptions of these representations

Completes the classification for this specific multiplicity constraint

Abstract

We determine the irreducible representations of simple Lie algebras with maximum weight multiplicity 2.