Automorphisms of associative algebras and noncommutative geometry

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dc.creatorDimakis, Aristophanes
dc.creatorMuller-Hoissen, Folkert
dc.date2003-06-24
dc.date2003-12-01
dc.date.accessioned2026-07-07T10:50:36Z
dc.date.available2026-07-07T10:50:36Z
dc.descriptionA 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.
dc.description28 pages, some references added, several amendments of minor importance, remark on modular group in section 8 omitted, to appear in J. Phys. A
dc.identifierhttps://arxiv.org/abs/math-ph/0306058
dc.identifierhttp://arxiv.org/abs/math-ph/0306058
dc.identifierJ.Phys.A37:2307-2330,2004
dc.identifierdoi:10.1088/0305-4470/37/6/023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184585
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleAutomorphisms of associative algebras and noncommutative geometry
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