A lower bound for the dimension of a highest weight module

2016/03/09 by Goldstein, Daniel, Guralnick, Robert, Stong, Richard
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1603.03076

Abstract

For each integer t>0 and each complex simple Lie algebra \mathfrakg, we determine the least dimension of an irreducible highest weight representation of \mathfrakg whose highest weight has height t. As a corollary, we classify all irreducible modules whose dimension equals a product of two primes.

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