The Frölicher-Nijenhuis bracket for derivation based non commutative differential forms
Michel Dubois-Violette, Peter W. Michor
Abstract
In commutative differential geometry the Frölicher-Nijenhuis bracket computes all kinds of curvatures and obstructions to integrability. In !3 the Frölicher-Nijenhuis bracket was developped for universal differential forms of non-commutative algebras, and several applications were given. In this paper this bracket and the Frölicher-Nijenhuis calculus will be developped for several kinds of differential graded algebras based on derivations, which were indroduced by !6.
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