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arXiv · 2308.02319

On the number of irreducible representations of $\mathfrak{su}(3)$

Walter Bridges·Kathrin Bringmann·Johann Franke
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Abstract

In this note, we use a variant of the hyperbola method to prove an asymptotic expansion for the summatory function of the number of irreducible $\mathfrak{su}(3)$-representations of dimension $n$. This is a natural companion result to work of Romik, who proved an asymptotic formula for the number of unrestricted $\mathfrak{su}(3)$-representations of dimension $n$.

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Walter Bridges, Kathrin Bringmann, Johann Franke. 2023-08-04. On the number of irreducible representations of $\mathfrak{su}(3)$. https://arxiv.org/abs/2308.02319

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