A lower bound for the dimension of a highest weight module
Representation Theory
2016-03-11 v1
Abstract
For each integer and each complex simple Lie algebra , we determine the least dimension of an irreducible highest weight representation of whose highest weight has height . As a corollary, we classify all irreducible modules whose dimension equals a product of two primes.
Cite
@article{arxiv.1603.03076,
title = {A lower bound for the dimension of a highest weight module},
author = {Daniel Goldstein and Robert Guralnick and Richard Stong},
journal= {arXiv preprint arXiv:1603.03076},
year = {2016}
}