Representations of affine Kac–Moody algebras and the affine scalar product
Copyright policy )Representations of affine Kac–Moody algebras and the affine scalar product
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.
- Purdue University System United States
- Purdue University West Lafayette United States
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), affine Kac-Moody algebras, Weyl orbit, dominant weights, highest weight representation
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), affine Kac-Moody algebras, Weyl orbit, dominant weights, highest weight representation
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