Numerical semigroups from rational matrices I: power-integral matrices and nilpotent representations
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866916378700677120 |
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| author | Chhabra, Arsh Garcia, Stephan Ramon Zhang, Fangqian Zhang, Hechun |
| author_facet | Chhabra, Arsh Garcia, Stephan Ramon Zhang, Fangqian Zhang, Hechun |
| contents | Our aim in this paper is to initiate the study of exponent semigroups for rational matrices. We prove that every numerical semigroup is the exponent semigroup of some rational matrix. We also obtain lower bounds on the size of such matrices and discuss the related class of power-integral matrices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_03560 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Numerical semigroups from rational matrices I: power-integral matrices and nilpotent representations Chhabra, Arsh Garcia, Stephan Ramon Zhang, Fangqian Zhang, Hechun Combinatorics Our aim in this paper is to initiate the study of exponent semigroups for rational matrices. We prove that every numerical semigroup is the exponent semigroup of some rational matrix. We also obtain lower bounds on the size of such matrices and discuss the related class of power-integral matrices. |
| title | Numerical semigroups from rational matrices I: power-integral matrices and nilpotent representations |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2407.03560 |