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arXiv · 2603.03982

Classification of Nottingham algebras

M. Avitabile·A. Caranti·S. Mattarei
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Abstract

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.

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M. Avitabile, A. Caranti, S. Mattarei. 2026-03-04. Classification of Nottingham algebras. https://arxiv.org/abs/2603.03982

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