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Dimensions, induces and congruence classes of representations of affine Kac-Moody algebras (with examples for affine E/sub 8/)

Conference ·
OSTI ID:5408580

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.

Research Organization:
Los Alamos National Lab., NM (USA). Theoretical Div.; Montreal Univ., Quebec (Canada). Centre de Recherches Mathematiques
DOE Contract Number:
W-7405-ENG-36
OSTI ID:
5408580
Report Number(s):
LA-UR-86-2576; CONF-860766-1; ON: DE86013828
Country of Publication:
United States
Language:
English

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