Frame, cotangent and tangent bundles of the quantum plane

Details Frame, cotangent and tangent bundles of the quantum plane Frame, cotangent and tangent bundles of the quantum plane

1998-03-26

arxiv.org/abs/math/9803127v1

Mathematics

Quantum Algebra

8 pages, latex

Scientific paper

We construct a quantum frame bundle of the quantum plane $C^2_p$ by requiring
that a $GL_{q,p}(2)$-covariant differential calculus on $C^2_p$ be isomorphic
as a bimodule to the space of sections of the associated quantum cotangent
bundle. We also construct the section space of the associated quantum tangent
bundle, and show that it is naturally dual to the differential calculus.

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