On the Mathieu Conjecture for $SU(N)$ and $SO(N)$
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866911806031659008 |
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| author | Zwart, Kevin |
| author_facet | Zwart, Kevin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_02648 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the Mathieu Conjecture for $SU(N)$ and $SO(N)$ Zwart, Kevin Group Theory 22E30, 43A75 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. |
| title | On the Mathieu Conjecture for $SU(N)$ and $SO(N)$ |
| topic | Group Theory 22E30, 43A75 |
| url | https://arxiv.org/abs/2304.02648 |