On Differential Structures on Quantum Principal Bundles

Details On Differential Structures on Quantum Principal Bundles On Differential Structures on Quantum Principal Bundles

1994-12-19

arxiv.org/abs/q-alg/9412004v1

Mathematics

Quantum Algebra

15 pages (AMS-LaTeX)

Scientific paper

A constructive approach to differential calculus on quantum principal bundles is presented. The calculus on the bundle is built in an intrinsic manner, starting from given graded (differential) *-algebras representing horizontal forms on the bundle and differential forms on the base manifold, together with a family of antiderivations acting on horizontal forms, playing the role of covariant derivatives of regular connections. In this conceptual framework, a natural differential calculus on the structure quantum group is described.

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