On finite subgroups of SU(2), simple Lie algebras, and the McKay correspondence

AUTOR(ES)

Kostant, Bertram

RESUMO

The question is considered of how the restriction πnǀΓ, where πn is irreducible for all n and Γ is a finite subgroup of SU(2), decomposes into Γ-irreducibles for any arbitrary n ∈ [unk]+. It is announced that, using the McKay correspondence, the problem has an elegant solution in terms of the Coxeter element for the associated Lie algebra and that the numbers involved come in a beautiful way from the root structure.

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