English

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

Group Theory 2024-03-22 v1

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)SU(N) to a simpler conjecture in purely abelian terms. We sketch a similar reduction for SO(N)SO(N). The proofs rely on Euler-style parametrizations of these groups, which we discuss including proofs.

Cite

@article{arxiv.2304.02648,
  title  = {On the Mathieu Conjecture for $SU(N)$ and $SO(N)$},
  author = {Kevin Zwart},
  journal= {arXiv preprint arXiv:2304.02648},
  year   = {2024}
}

Comments

30 pages, no figures

R2 v1 2026-06-28T09:51:34.100Z