On finite subgroups of SU(2), simple Lie algebras, and the McKay correspondence.
The question is considered of how the restriction pi(n)Gamma, where pi(n) is irreducible for all n and Gamma is a finite subgroup of SU(2), decomposes into Gamma-irreducibles for any arbitrary n in [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.
Kostant
B
B
Mathematical Sciences Research Institute, Berkeley, CA 94720.