Automorphisms of associative algebras and noncommutative geometry
Dimakis, Aristophanes ; Muller-Hoissen, Folkert
arXiv, 0306058 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-06-24
Classification:  Mathematical Physics,  General Relativity and Quantum Cosmology,  High Energy Physics - Theory 
@article{0306058,
     author = {Dimakis, Aristophanes and Muller-Hoissen, Folkert},
     title = {Automorphisms of associative algebras and noncommutative geometry},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0306058}
}

Dimakis, Aristophanes; Muller-Hoissen, Folkert. Automorphisms of associative algebras and noncommutative geometry. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0306058/