M. Avitabile

activity

20052023

most citedThin loop algebras of Albert-Zassenhaus algebras

14 citations · 18 across the 10 of their papers we have counts for

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Showing 2023Show all

3 papers · 1 filter

math.RA2023

Ideally $r$ -constrained graded Lie subalgebras of maximal class algebras

Marina Avitabile, Norberto Gavioli, Valerio Monti

Let $E \supseteq F$ be a field extension and $M$ a graded Lie algebra of maximal class over $E$ . We investigate the $F$ -subalgebras $L$ of $M$ , generated by elements of degree $1$ .…

math.NT2023

On some coefficients of the Artin-Hasse series modulo a prime

Marina Avitabile, Sandro Mattarei

Let $p$ be an odd prime, and let $\sum_{n = 0}^{\infty} a_{n} X^{n} \in F_{p} [[X]]$ be the reduction modulo $p$ of the Artin-Hasse exponential. We obtain a polynomial expression…

math.NT2023

The Artin-Hasse series and Laguerre polynomials modulo a prime

Marina Avitabile, Sandro Mattarei

For an odd prime $p$ , let $E_{p} (X) = \sum_{n = 0}^{\infty} a_{n} X^{n} \in F_{p} [[X]]$ denote the reduction modulo $p$ of the Artin-Hasse exponential series. It is known…

Ideally r-constrained graded Lie subalgebras of maximal class algebras

On some coefficients of the Artin-Hasse series modulo a prime

The Artin-Hasse series and Laguerre polynomials modulo a prime

Ideally $r$ -constrained graded Lie subalgebras of maximal class algebras