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math.QA2000
Quantum Real Projective Space, Disc and Sphere
Piotr M. Hajac, Rainer Matthes, Wojciech Szymanski
We define the -algebra of quantum real projective space , classify its irreducible representations and compute its -theory. We also show that the -disc of Klim…
math.QA2000
Gauge transformations on locally trivial quantum principal fibre bundles
Dirk Calow, Rainer Matthes
If P, B, H are the algebras of the total space, the base space, and the structure group of a locally trivial principal fibre bundle (QPFB), left (right) gauge transformations are d…
math.QA2000
Locally trivial quantum vector bundles and associated vector bundles
Dirk Calow, Rainer Matthes
We define locally trivial quantum vector bundles (QVB) and QVB associated to locally trivial quantum principal fibre bundles. There exists a differential structure on the associate…