The Hilbert series of the preprojective algebras
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866916241172594688 |
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| author | Minamoto, Hiroyuki |
| author_facet | Minamoto, Hiroyuki |
| contents | The aim of this short note is to prove the formula of the Hilbert series of the preprojective algebras in arbitrary characteristic by making effective use of the formulas of the Hilbert series of differential graded (dg) algebras with Adams grading. We also compute the Hilbert series of the quiver Heisenberg algebras, a special class of central extensions of preprojective algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_15732 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Hilbert series of the preprojective algebras Minamoto, Hiroyuki Rings and Algebras Representation Theory The aim of this short note is to prove the formula of the Hilbert series of the preprojective algebras in arbitrary characteristic by making effective use of the formulas of the Hilbert series of differential graded (dg) algebras with Adams grading. We also compute the Hilbert series of the quiver Heisenberg algebras, a special class of central extensions of preprojective algebras. |
| title | The Hilbert series of the preprojective algebras |
| topic | Rings and Algebras Representation Theory |
| url | https://arxiv.org/abs/2402.15732 |