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math.RA2021★ 1 cited

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…

math.RA2005

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…