Semisimplicity criterion for 2-tonal partition algebras
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917382999506944 |
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| author | Ahmed, C. Benkart, G. M. King, O. H. Martin, P. P. Parker, A. E. |
| author_facet | Ahmed, C. Benkart, G. M. King, O. H. Martin, P. P. Parker, A. E. |
| contents | We determine the semisimplicity criterion for even partition algebras over the complex field. Specifically we prove that the even/2-tonal partition algebras $P_n^2(δ)$ over $\mathbb{C}$ are semisimple for all $n$ if and only if parameter $δ\not\in \mathbb{N}_0$ . |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_02989 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Semisimplicity criterion for 2-tonal partition algebras Ahmed, C. Benkart, G. M. King, O. H. Martin, P. P. Parker, A. E. Representation Theory 16G10 We determine the semisimplicity criterion for even partition algebras over the complex field. Specifically we prove that the even/2-tonal partition algebras $P_n^2(δ)$ over $\mathbb{C}$ are semisimple for all $n$ if and only if parameter $δ\not\in \mathbb{N}_0$ . |
| title | Semisimplicity criterion for 2-tonal partition algebras |
| topic | Representation Theory 16G10 |
| url | https://arxiv.org/abs/2604.02989 |