Geodesic
The Earliest Diamond of Finite Type in Nottingham Algebras
Journal of Lie theory, Tome 32 (2022) no. 3, pp. 771-796
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We prove several structural results on Nottingham algebras, a class of infinite-dimensional, modular, graded Lie algebras, which includes the graded Lie algebra associated to the Nottingham group with respect to its lower central series. Homogeneous components of a Nottingham algebra have dimension one or two, and in the latter case they are called diamonds. The first diamond occurs in degree 1, and the second occurs in degree q, a power of the characteristic. Each diamond past the second is assigned a type, which either belongs to the underlying field or is ∞.
Classification : 17B50, 17B70, 17B65
Mots-clés : Modular Lie algebra, graded Lie algebra, thin Lie algebra 
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     author = {M. Avitabile and S. Mattarei},
     title = {The {Earliest} {Diamond} of {Finite} {Type} in {Nottingham} {Algebras}},
     journal = {Journal of Lie theory},
     pages = {771--796},
     year = {2022},
     volume = {32},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JLT_2022_32_3_JLT_2022_32_3_a7/}
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M. Avitabile; S. Mattarei. The Earliest Diamond of Finite Type in Nottingham Algebras. Journal of Lie theory, Tome 32 (2022) no. 3, pp. 771-796. http://geodesic.mathdoc.fr/item/JLT_2022_32_3_JLT_2022_32_3_a7/