Counting generating spaces of matrices
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915539423592448 |
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| author | Reineke, Markus |
| author_facet | Reineke, Markus |
| contents | We prove that generating subspaces of matrix rings over finite fields are counted by polynomials. We use this result to define and study two-variable versions of polynomials counting isomorphism classes of absolutely irreducible representations of free algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_06959 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Counting generating spaces of matrices Reineke, Markus Representation Theory Rings and Algebras 16S50, 16G20, 14G15 We prove that generating subspaces of matrix rings over finite fields are counted by polynomials. We use this result to define and study two-variable versions of polynomials counting isomorphism classes of absolutely irreducible representations of free algebras. |
| title | Counting generating spaces of matrices |
| topic | Representation Theory Rings and Algebras 16S50, 16G20, 14G15 |
| url | https://arxiv.org/abs/2510.06959 |