Non-noetherian GL-algebras in characteristic two
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911987278020608 |
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| author | Ganapathy, Karthik |
| author_facet | Ganapathy, Karthik |
| contents | Over fields of characteristic two, we construct an infinite ascending chain of GL-stable ideals in the coordinate ring of infinite skew-symmetric matrices. This construction provides the first known example of a non-noetherian GL-algebra, thereby resolving a long-standing open question in the area. Our results build on the work of Draisma, Krasilnikov, and Krone. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_04630 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-noetherian GL-algebras in characteristic two Ganapathy, Karthik Commutative Algebra Combinatorics Representation Theory 13A50, 05E40 (Primary) 13E99, 14M12 (Secondary) Over fields of characteristic two, we construct an infinite ascending chain of GL-stable ideals in the coordinate ring of infinite skew-symmetric matrices. This construction provides the first known example of a non-noetherian GL-algebra, thereby resolving a long-standing open question in the area. Our results build on the work of Draisma, Krasilnikov, and Krone. |
| title | Non-noetherian GL-algebras in characteristic two |
| topic | Commutative Algebra Combinatorics Representation Theory 13A50, 05E40 (Primary) 13E99, 14M12 (Secondary) |
| url | https://arxiv.org/abs/2408.04630 |