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20072022
most citedThe Hochschild cohomology ring of a Frobenius algebra with semisimple Nakayama automorphism is a Batalin-Vilkovisky algebra

31 citations · 35 across the 5 of their papers we have counts for

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math.RA2017★ 4 cited

Duality for Differential Operators of Lie-Rinehart Algebras

Thierry Lambre, Patrick Le Meur

Let (S,L) be a Lie-Rinehart algebra over a commutative ring R. This article proves that, if S is flat as an R-module and has Van den Bergh duality in dimension n, and if L is finit…

math.RA2016

Poisson enveloping algebras and the Poincaré-Birkhoff-Witt theorem

Thierry Lambre, Cyrille Ospel, Pol Vanhaecke

Poisson algebras are, just like Lie algebras, particular cases of Lie-Rinehart algebras. The latter were introduced by Rinehart in his seminal 1963 paper, where he also introduces…