Representations of affine Kac--Moody algebras and the affine scalar product

Journal Article · Wed Aug 01 00:00:00 EDT 1990 · Journal of Mathematical Physics (New York); (USA)

DOI:https://doi.org/10.1063/1.528682· OSTI ID:6692551

Capps, R H ^[1]

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1. Department of Physics, Purdue University, West Lafayette, Indiana 47907 (USA)

Simple procedures are given for finding all the dominant weights in a highest weight representation of an affine algebra, for finding the Weyl orbit of an arbitrary weight, and for determining whether or not any given weight is in any given representation. A simple definition of congruency is given that applies to all affine algebras. The standard indefinite scalar product is generalized; the generalization is used in the procedures.

• OSTI ID: 6692551
• Journal Information: Journal of Mathematical Physics (New York); (USA), Vol. 31:8; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
IRREDUCIBLE REPRESENTATIONS
CONFORMAL INVARIANCE
FIELD THEORIES
STRING MODELS
WEYL UNIFIED THEORY
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICS
PARTICLE MODELS
QUARK MODEL
UNIFIED-FIELD THEORIES
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics