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arXiv · 2304.02648

On the Mathieu Conjecture for $SU(N)$ and $SO(N)$

Kevin Zwart
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Abstract

Building on work of M. M\"uger and L. Tuset, we reduce the Mathieu conjecture, formulated by O. Mathieu in 1997, for $SU(N)$ to a simpler conjecture in purely abelian terms. We sketch a similar reduction for $SO(N)$. The proofs rely on Euler-style parametrizations of these groups, which we discuss including proofs.

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Kevin Zwart. 2023-03-29. On the Mathieu Conjecture for $SU(N)$ and $SO(N)$. https://doi.org/10.1063/5.0157709

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