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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.23070 |
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| _version_ | 1866911181240795136 |
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| author | Kashuba, Iryna Serganova, Vera |
| author_facet | Kashuba, Iryna Serganova, Vera |
| contents | In this paper we study special representations of finite-dimensional Jordan algebra $J$ whose $Rad^2 J=0$. For each Jordan algebra $J$ of this class we consider its Tits-Kantor-Koecher construction $TKK(J)$ and then associate to the latter a quiver with relations $Q$ such that the category of representations of $Q$ is isomorphic to the category of special representations of $J$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_23070 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Special modules over Jordan algebras Kashuba, Iryna Serganova, Vera Representation Theory 14J10, 17C55, 17C10 In this paper we study special representations of finite-dimensional Jordan algebra $J$ whose $Rad^2 J=0$. For each Jordan algebra $J$ of this class we consider its Tits-Kantor-Koecher construction $TKK(J)$ and then associate to the latter a quiver with relations $Q$ such that the category of representations of $Q$ is isomorphic to the category of special representations of $J$. |
| title | Special modules over Jordan algebras |
| topic | Representation Theory 14J10, 17C55, 17C10 |
| url | https://arxiv.org/abs/2509.23070 |