Physics – Mathematical Physics
Scientific paper
2003-06-24
J.Phys.A37:2307-2330,2004
Physics
Mathematical Physics
28 pages, some references added, several amendments of minor importance, remark on modular group in section 8 omitted, to appe
Scientific paper
10.1088/0305-4470/37/6/023
A class of differential calculi is explored which is determined by a set of automorphisms of the underlying associative algebra. Several examples are presented. In particular, differential calculi on the quantum plane, the $h$-deformed plane and the quantum group GLpq(2) are recovered in this way. Geometric structures like metrics and compatible linear connections are introduced.
Dimakis Aristophanes
Muller-Hoissen Folkert
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