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Inhomogeneous Yang-Mills algebras

Roland Berger, Michel Dubois-Violette

math.QAarXiv:math/0511521

Abstract

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 the homogeneous part is Koszul and if the PBW property holds. In this paper, the homogeneous parts are the Yang-Mills algebra and the super Yang-Mills algebra.

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