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

Abstract

Building on work of M. Müger 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.

arXiv comment30 pages, no figures

References in corpus (4)

• Generalized Euler Angle Paramterization for SU(N)
• A Parametrization of Bipartite Systems Based on SU(4) Euler Angles
• On the Euler angles for SU(N)
• Composite parameterization and Haar measure for all unitary and special unitary groups

Cited by in corpus (2)

• On the Mathieu Conjecture for $Sp(N)$ and $G_2$
• An integral formula for Lie groups, and the Mathieu conjecture reduced to Abelian non-Lie conjectures