Irreducible representations of simple Lie algebras with maximum weight multiplicity 2

2025/06/17 by Zalesski, Alexandre
#17B10 #20G05 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2506.14940

Abstract

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

Citations

• An algorithm for computing weight multiplicities in irreducible modules\n for complex semisimple Lie algebras
• Irreducible geometric subgroups of classical algebraic groups
• Weight multiplicity free representations, \frak g-endomorphism algebras, and Dynkin polynomials

Related

• Computing weight q-multiplicities for the representations of the\n simple Lie algebras
• A new characterization of the exceptional Lie algebras
• An Elementary Approach to Weight Multiplicities in Bivariate Irreducible Representations of Sp(2r)
• When is the q-multiplicity of a weight a power of q?
• A lower bound for the dimension of a highest weight module