Classification of Nottingham algebras
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866908865937801216 |
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| author | Avitabile, M. Caranti, A. Mattarei, S. |
| author_facet | Avitabile, M. Caranti, A. Mattarei, S. |
| contents | The graded Lie algebra associated with the Nottingham group over a field of prime characteristic serves as a fundamental example of Nottingham algebras, a class of infinite-dimensional, positively graded thin algebras.
This paper completes the classification of Nottingham algebras initiated in earlier papers, proving both existence and uniqueness results that determine all such algebras up to isomorphism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_03982 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Classification of Nottingham algebras Avitabile, M. Caranti, A. Mattarei, S. Rings and Algebras 17B50, 17B70, 17B65 The graded Lie algebra associated with the Nottingham group over a field of prime characteristic serves as a fundamental example of Nottingham algebras, a class of infinite-dimensional, positively graded thin algebras. This paper completes the classification of Nottingham algebras initiated in earlier papers, proving both existence and uniqueness results that determine all such algebras up to isomorphism. |
| title | Classification of Nottingham algebras |
| topic | Rings and Algebras 17B50, 17B70, 17B65 |
| url | https://arxiv.org/abs/2603.03982 |