Report on $AS$-Gorenstein Hopf algebras
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866913081093783552 |
|---|---|
| author | Brown, Ken A. |
| author_facet | Brown, Ken A. |
| contents | This is a review of progress on the question whether noetherian Hopf algebras always have finite injective dimension and related good homological properties. As well as discussing in detail the main results giving positive answers for particular classes of Hopf algebras, some consequences of such positive answers are also described. Full definitions and references are included, also sketches of some proofs. A considerable number of open questions are listed, additional to the original question, which itself remains open after 30 years. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_00774 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Report on $AS$-Gorenstein Hopf algebras Brown, Ken A. Rings and Algebras Quantum Algebra Representation Theory 16T05, 16E65 This is a review of progress on the question whether noetherian Hopf algebras always have finite injective dimension and related good homological properties. As well as discussing in detail the main results giving positive answers for particular classes of Hopf algebras, some consequences of such positive answers are also described. Full definitions and references are included, also sketches of some proofs. A considerable number of open questions are listed, additional to the original question, which itself remains open after 30 years. |
| title | Report on $AS$-Gorenstein Hopf algebras |
| topic | Rings and Algebras Quantum Algebra Representation Theory 16T05, 16E65 |
| url | https://arxiv.org/abs/2605.00774 |