Dimensions, Induces and Congruence Classes of Representations of Affine Kac-Moody Algebras (With Examples for Affine E sub 8 )

摘要

Affine generalizations of some familiar notions from the representation theory of semisimple Lie algebras/groups are introduced, described and illustrated. The multiplicity of a weight and the dimension congruence class, and indices of a representation are touched upon. Examples of the highest weight representations of affine E sub 8 are considered as a preview of far more extensive results of this type to appear. (ERA citation 11:053104)