Automorphisms of associative algebras and noncommutative geometry

Details Automorphisms of associative algebras and noncommutative geometry Automorphisms of associative algebras and noncommutative geometry

2003-06-24

arxiv.org/abs/math-ph/0306058v2

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.

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