Suzanne Crifo, NC State, Some Maximal Dominant Weights and their Multiplicities for Affine Lie Algebra Representations
Affine Lie algebras are infinite dimensional analogs of finite dimensional simple Lie algebras. It is known there are finitely many maximal dominant weights for any integrable highest weight representation of an affine Lie algebra. However, determining these maximal dominant weights is a nontrivial task. So far only the descriptions of these weights are known for…