A large deviation principle for the reduction of product representations Academic Article

A large deviation principle is proved for a family of measures { L n : n = 1 , 2 , } left { {{mathbb {L}_n}:n = 1,2, ldots }
ight } derived from the multiplicities occurring in the decomposition into irreducible components of n n -fold tensor products of representations of arbitrary compact semisimple Lie groups.