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math.RA2024
Rank two Artin-Schelter regular algebras and non commuting derivations
Vincent Beck, César Lecoutre
If and are two derivations of a commutative algebra such that is locally nilpotent, one can endow with a new product whose filtered semiclassical l…
math.RA2022
Rational equivalence for enveloping algebras of three-dimensional Lie algebras
Jacques Alev, François Dumas, César Lecoutre
We study from the point of view of rational equivalence the enveloping algebras of Lie algebras of dimension 3 whose derived Lie subalgebra is of dimension 2, over an algebraically…
math.RA2017
On the semi-centre of a Poisson algebra
Cesar Lecoutre, Lewis Topley
If is a Lie algebra then the semi-centre of the Poisson algebra is the subalgebra generated by ad-eigenvectors. In this paper we ab…