Classification of Nottingham algebras
Rings and Algebras
2026-03-05 v1
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.
Keywords
Cite
@article{arxiv.2603.03982,
title = {Classification of Nottingham algebras},
author = {M. Avitabile and A. Caranti and S. Mattarei},
journal= {arXiv preprint arXiv:2603.03982},
year = {2026}
}
Comments
31 pages. arXiv admin note: text overlap with arXiv:2106.14796