Multiplicity free tensor products of irreducible representations of the exceptional Lie groups

Description/Abstract

For each of the exceptional Lie groups, a complete determination is given of those pairs of finite-dimensional irreducible representations whose tensor products (or squares) may be resolved into irreducible representations that are multiplicity free, i.e. such that no irreducible representation occurs in the decomposition of the tensor product more than once.

Explicit formulae are presented for the decomposition of all those tensor products that are multiplicity free, many of which exhibit a stability property.