A note on Lie and Jordan structures of Leavitt path algebras
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917294524858368 |
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| author | Khanh, Huynh Viet Danh, Le Qui |
| author_facet | Khanh, Huynh Viet Danh, Le Qui |
| contents | Let $L_K(E)$ be the Leavitt path algebra of a directed graph $E$ over a field $K$. In this paper, we determine $E$ and $K$ for the Lie algebra $\mathbf{K}_{L_K(E)}$ and the Jordan algebra $\mathbf{S}_{L_K(E)}$ arising from $L_K(E)$ with respect to the standard involution to be solvable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_19277 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on Lie and Jordan structures of Leavitt path algebras Khanh, Huynh Viet Danh, Le Qui Rings and Algebras 16S88, 16W10 Let $L_K(E)$ be the Leavitt path algebra of a directed graph $E$ over a field $K$. In this paper, we determine $E$ and $K$ for the Lie algebra $\mathbf{K}_{L_K(E)}$ and the Jordan algebra $\mathbf{S}_{L_K(E)}$ arising from $L_K(E)$ with respect to the standard involution to be solvable. |
| title | A note on Lie and Jordan structures of Leavitt path algebras |
| topic | Rings and Algebras 16S88, 16W10 |
| url | https://arxiv.org/abs/2503.19277 |