31 citations · 35 across the 5 of their papers we have counts for
6 papers
Center and Lie algebra of outer derivations for algebras of differential operators associated to hyperplane arrangements
Francisco Kordon, Thierry Lambre
We compute the center and the Lie algebra of outer derivations of a familiy of algebras of differential operators associated to hyperplane arrangements of the affine space A 3. The…
Lie-Rinehart and Hochschild cohomology for algebras of differential operators
Francisco Kordon, Thierry Lambre
Let be a Lie-Rinehart algebra such that is -projective and let be its universal enveloping algebra. In this paper we present a spectral sequence which converges…
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…
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…
The Hochschild cohomology ring of a Frobenius algebra with semisimple Nakayama automorphism is a Batalin-Vilkovisky algebra
Thierry Lambre, Guodong Zhou, Alexander Zimmermann
Analogous to a recent result of N. Kowalzig and U. Krähmer for twisted Calabi-Yau algebras, we show that the Hochschild cohomology ring of a Frobenius algebra with semisimple Nakay…
K-theory of the norm functor
Max Karoubi, Thierry Lambre
The K-theory of a functor may be viewed as a relative version of the K-theory of a ring. In the case of a Galois extension of a number field F/L with rings of integers A/B respecti…