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Automorphisms of associative algebras and noncommutative geometry | | Aristophanes Dimakis
; Folkert Muller-Hoissen
; | | Date: |
24 Jun 2003 | | Journal: | J.Phys. A37 (2004) 2307-2330 | | Subject: | Mathematical Physics | math-ph gr-qc hep-th math.MP | | Abstract: | 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. | | Source: | arXiv, math-ph/0306058 | | Services: | Forum | Review | PDF | Favorites | |
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