14 citations · 18 across the 10 of their papers we have counts for
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Ideally -constrained graded Lie subalgebras of maximal class algebras
Marina Avitabile, Norberto Gavioli, Valerio Monti
Let be a field extension and a graded Lie algebra of maximal class over . We investigate the -subalgebras of , generated by elements of degree .…
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…
Thin subalgebras of Lie algebras of maximal class
M. Avitabile, A. Caranti, N. Gavioli +3
For every field which has a quadratic extension we show there are non-metabelian infinite-dimensional thin graded Lie algebras all of whose homogeneous components, except t…
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…
Grading switching for modular non-associative algebras
Marina Avitabile, Sandro Mattarei
We describe a grading switching for arbitrary non-associative algebras of prime characteristic p, aimed at producing a new grading of an algebra from a given one. This is inspired…
Nottingham Lie algebras with diamonds of finite and infinite type
Marina Avitabile, Sandro Mattarei
We consider 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 centra…
Laguerre polynomials of derivations
Marina Avitabile, Sandro Mattarei
We introduce a 'grading switching' for arbitrary nonassociative algebras of prime characteristic p, aimed at producing a new grading of an algebra from a given one. We take inspira…
The structure of thin Lie algebras up to the second diamond
Marina Avitabile, Giuseppe Jurman, Sandro Mattarei
Thin Lie algebras are Lie algebras L, graded over the positive integers, with all homogeneous components of dimension at most two, and satisfying a more stringent but natural narro…
Thin loop algebras of Albert-Zassenhaus algebras
Marina Avitabile, Sandro Mattarei
Thin Lie algebras are Lie algebras over a field, graded over the positive integers and satisfying a certain narrowness condition. In particular, all homogeneous components have dim…
Diamonds of finite type in thin Lie algebras
Sandro Mattarei, Marina Avitabile
Borrowing some terminology from pro-p groups, thin Lie algebras are N-graded Lie algebras of width two and obliquity zero, generated in degree one. In particular, their homogeneous…