A large deviation principle for the reduction of product representations

Duffield, N. G.

doi:10.1090/S0002-9939-1990-1004418-1

A large deviation principle for the reduction of product representations
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Proc. Amer. Math. Soc. 109 (1990), 503-515 Request permission

Abstract:

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

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