23 citations · 42 across the 4 of their papers we have counts for
4 papers
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…
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…
Connections on locally trivial quantum principal fibre bundles
Dirk Calow, Rainer Matthes
Following the approach of Budzyński and Kondracki, we define covariant differential algebras and connections on locally trivial quantum principal fibre bundles. We also consider co…
Covering and gluing of algebras and differential algebras
D. Calow, R. Matthes
Extending work of Budzynski and Kondracki, we investigate coverings and gluings of algebras and differential algebras. We describe in detail the gluing of two quantum discs along t…