V. Monti

most citedThin subalgebras of Lie algebras of maximal class

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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.RA2021★ 1 cited

Thin subalgebras of Lie algebras of maximal class

M. Avitabile, A. Caranti, N. Gavioli +3

For every field $F$ which has a quadratic extension $E$ we show there are non-metabelian infinite-dimensional thin graded Lie algebras all of whose homogeneous components, except t…

Ideally r-constrained graded Lie subalgebras of maximal class algebras

Thin subalgebras of Lie algebras of maximal class

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