Polynomial identities for quivers via incidence algebras
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910220019564544 |
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| author | Berele, Allan Irelli, Giovanni Cerulli Chávez, Javier De Loera Pascucci, Elena |
| author_facet | Berele, Allan Irelli, Giovanni Cerulli Chávez, Javier De Loera Pascucci, Elena |
| contents | We show that the path algebra of a quiver satisfies the same polynomial identities of an algebra of matrices, if any. In particular, the algebra of nxn matrices is PI-equivalent to the path algebra of the oriented cycle with n vertices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_03536 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Polynomial identities for quivers via incidence algebras Berele, Allan Irelli, Giovanni Cerulli Chávez, Javier De Loera Pascucci, Elena Representation Theory Combinatorics Rings and Algebras We show that the path algebra of a quiver satisfies the same polynomial identities of an algebra of matrices, if any. In particular, the algebra of nxn matrices is PI-equivalent to the path algebra of the oriented cycle with n vertices. |
| title | Polynomial identities for quivers via incidence algebras |
| topic | Representation Theory Combinatorics Rings and Algebras |
| url | https://arxiv.org/abs/2511.03536 |