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math.RA2022
The algebraic and geometric classification of nilpotent Lie triple systems up to dimension four
Hani Abdelwahab, Elisabete Barreiro, Antonio J. Calderón +1
In this paper we generalize the Skjelbred Sund method, used to classify nilpotent Lie algebras, in order to classify triple systems with non zero annihilator. We develop this metho…
math.RA2022★ 2 cited
Graded Lie-Rinehart algebras
Elisabete Barreiro, Antonio J. Calderón, Rosa M. Navarro +1
We introduce the class of graded Lie-Rinehart algebras as a natural generalization of the one of graded Lie algebras. For an abelian group, we show that if is a tight -g…