arXiv subjects

S. Mattarei

Publications and source records attributed to S. Mattarei.

2 recordsLinked to original sources

arXiv2026

Classification of Nottingham algebras

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.

math.RA↗

arXiv2013

A property of the inverse of a subspace of a finite field

We prove a geometric property of the set A^{-1} of inverses of the nonzero elements of an F_q-subspace A of a finite field involving the size of its intersection with two-dimensional F_q-subspaces. We give some applications, including a new upper bound on the size of the intersection of A^{-1} and B when A and B are F_q-subspaces of different dimension of a finite field, satisfying a suitable natural assumption.

math.RA↗