Positive determinacy of h-Shuhan matrices with $h<2$
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866916550242467840 |
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| author | Wu, Weicai Yang, Mingxuan |
| author_facet | Wu, Weicai Yang, Mingxuan |
| contents | In this paper, we define h-Shuhan matrix, which is the generalization of the generalized Cartan matrix, and find the h-Shuhan matrices for all positive semi-definite ( or generalized positive semi-definite, virtual positive semi-definite) with $h<2$. Furthermore, we know that the largest eigenvalue of the matrix $\hat{B}_{n}^{h}$ increases with $n$, but it is always less than $h$ plus a constant $ε\approx2.04998$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_01955 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Positive determinacy of h-Shuhan matrices with $h<2$ Wu, Weicai Yang, Mingxuan Rings and Algebras 15A15, 65F40 In this paper, we define h-Shuhan matrix, which is the generalization of the generalized Cartan matrix, and find the h-Shuhan matrices for all positive semi-definite ( or generalized positive semi-definite, virtual positive semi-definite) with $h<2$. Furthermore, we know that the largest eigenvalue of the matrix $\hat{B}_{n}^{h}$ increases with $n$, but it is always less than $h$ plus a constant $ε\approx2.04998$. |
| title | Positive determinacy of h-Shuhan matrices with $h<2$ |
| topic | Rings and Algebras 15A15, 65F40 |
| url | https://arxiv.org/abs/2501.01955 |