ON CERTAIN GRADED LIE ALGEBRAS ARISING IN NONCOMMUTATIVE GEOMETRY

摘要

Given an algebra, a finite projective right module and a differential algebra over this algebra, a graded Lie algebra with derivation is constructed. It is shown that the algebraic structure of the Mainz-Marseille approach to the standard model may be obtained making use of this general construction in a special case. Thereby, a rigorous mathematical link between Connes' noncommutative geometry and the Mainz-Marseille approach is established.