145 citations · 907 across the 49 of their papers we have counts for
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math.QA2005★ 6 cited
Inhomogeneous Yang-Mills algebras
Roland Berger, Michel Dubois-Violette
We determine all inhomogeneous Yang-Mills algebras and super Yang-Mills algebras which are Koszul. Following a recent proposal, a non-homogeneous algebra is said to be Koszul if th…
math.QA2005★ 4 cited
Non commutative finite dimensional manifolds II. Moduli space and structure of non commutative 3-spheres
Alain Connes, Michel Dubois-Violette
This paper contains detailed proofs of our results on the moduli space and the structure of noncommutative 3-spheres. We develop the notion of central quadratic form for quadratic…
math.RA2005
Graded algebras and multilinear forms
Michel Dubois-Violette
We give a description of the connected graded algebras which are finitely generated and presented of global dimension 2 or 3 and which are Gorenstein. These algebras are constructe…