The Frölicher-Nijenhuis bracket for derivation based non commutative differential forms

Details The Frölicher-Nijenhuis bracket for derivation based non commutative differential forms The Frölicher-Nijenhuis bracket for derivation based non commutative differential forms

1994-10-19

arxiv.org/abs/dg-ga/9410007v1

J. Pure Appl. Algebra, 121 (1997), 107-135

Mathematics

Differential Geometry

AmSTeX, 28 pages, ESI Preprint 133

Scientific paper

In commutative differential geometry the Fr\"olicher-Nijenhuis bracket computes all kinds of curvatures and obstructions to integrability. In \cit!{3} the Fr\"olicher-Nijenhuis bracket was developped for universal differential forms of non-commutative algebras, and several applications were given. In this paper this bracket and the Fr\"olicher-Nijenhuis calculus will be developped for several kinds of differential graded algebras based on derivations, which were indroduced by \cit!{6}.

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