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arXiv · 1603.03076

A lower bound for the dimension of a highest weight module

Daniel Goldstein·Robert Guralnick·Richard Stong
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Abstract

For each integer $t>0$ and each complex simple Lie algebra $\mathfrak{g}$, we determine the least dimension of an irreducible highest weight representation of $\mathfrak{g}$ 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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Daniel Goldstein, Robert Guralnick, Richard Stong. 2016-03-09. A lower bound for the dimension of a highest weight module. https://arxiv.org/abs/1603.03076

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