14 citations · 69 across the 33 of their papers we have counts for
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Classification of Nottingham algebras
M. Avitabile, A. Caranti, S. Mattarei
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-dimensi…
The earliest diamond of finite type in Nottingham algebras
Marina Avitabile, Sandro Mattarei
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 N…
A sandwich in thin Lie algebras
Sandro Mattarei
A thin Lie algebras is a Lie algebra , graded over the positive integers, with its first homogeneous component of dimension two and generating , and such that each nonz…
Graded Lie algebras of maximal class of type
Valentina Iusa, Sandro Mattarei, Claudio Scarbolo
The algebras of the title are infinite-dimensional graded Lie algebras , over a field of positive characteristic , that are generated by an eleme…
Diamond distances in Nottingham algebras
Marina Avitabile, Sandro Mattarei
Nottingham algebras are a class of just-infinite-dimensional, modular, -graded Lie algebras, which includes the graded Lie algebra associated to the Nottingham group wi…
Constituents of graded Lie algebras of maximal class and chain lengths of thin Lie algebras
Sandro Mattarei
Thin Lie algebras are infinite-dimensional graded Lie algebras , with and satisfying a covering property: for each , each nonzero $z\in…