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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.07028 |
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| _version_ | 1866914863319613440 |
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| author | Alraddadi, Nouf Parker, Alison |
| author_facet | Alraddadi, Nouf Parker, Alison |
| contents | We study the algebras, $J_{l,n}(δ)$, introduced by Kadar-Martin-Yu in arXiv:1401.1774. We show that these algebras are iterated inflation algebras. We give a set of generators for $J_{l,n}(δ)$. We show that this algebra satisifies the CMPX axiomatic framework in
arXiv:math/0411395 when the base field is the complex numbers and $δ\ne 0$. We show that $J_{l,n}(δ)$ is semisimple over the complex numbers if $δ$ is complex and not real. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_07028 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On semi-simplicity of KMY algebras Alraddadi, Nouf Parker, Alison Representation Theory 16G99, 20G05 and 20G10 We study the algebras, $J_{l,n}(δ)$, introduced by Kadar-Martin-Yu in arXiv:1401.1774. We show that these algebras are iterated inflation algebras. We give a set of generators for $J_{l,n}(δ)$. We show that this algebra satisifies the CMPX axiomatic framework in arXiv:math/0411395 when the base field is the complex numbers and $δ\ne 0$. We show that $J_{l,n}(δ)$ is semisimple over the complex numbers if $δ$ is complex and not real. |
| title | On semi-simplicity of KMY algebras |
| topic | Representation Theory 16G99, 20G05 and 20G10 |
| url | https://arxiv.org/abs/2407.07028 |