General Frame Structures On Quantum Principal Bundles

Details General Frame Structures On Quantum Principal Bundles General Frame Structures On Quantum Principal Bundles

1996-05-05

arxiv.org/abs/q-alg/9605007v1

Mathematics

Quantum Algebra

16 pages, AMS-LaTeX, extended version

Scientific paper

A noncommutative-geometric generalization of the classical formalism of frame bundles is developed, incorporating into the theory of quantum principal bundles the concept of the Levi-Civita connection. The construction of a natural differential calculus on quantum principal frame bundles is presented, including the construction of the associated differential calculus on the structure group. General torsion operators are defined and analyzed. Illustrative examples are presented.

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