Arithmetic Invariant Theory of Reductive Groups
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866917805325025280 |
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| author | Wang, Yidi |
| author_facet | Wang, Yidi |
| contents | In this manuscript, we define the notion of linearly reductive groups over commutative unital rings and study the Cohen-Macaulay property of the ring of invariants under rational actions of a linearly reductive group. Moreover, we study the equivalence of different notions of reductivity over regular rings of Krull dimension two by studying these properties locally. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_12863 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Arithmetic Invariant Theory of Reductive Groups Wang, Yidi Representation Theory Commutative Algebra 13A50, 14L30, 20G35, In this manuscript, we define the notion of linearly reductive groups over commutative unital rings and study the Cohen-Macaulay property of the ring of invariants under rational actions of a linearly reductive group. Moreover, we study the equivalence of different notions of reductivity over regular rings of Krull dimension two by studying these properties locally. |
| title | Arithmetic Invariant Theory of Reductive Groups |
| topic | Representation Theory Commutative Algebra 13A50, 14L30, 20G35, |
| url | https://arxiv.org/abs/2212.12863 |