Some aspects of noncommutative differential geometry
Dubois-Violette, Michel
HAL, hal-00013528 / Harvested from HAL
Text on HAL
We discuss in some generality aspects of noncommutative differential geometry associated with reality conditions and with differential calculi. We then describe the differential calculus based on derivations as generalization of vector fields, and we show its relations with quantum mechanics. Finally we formulate a general theory of connections in this framework.
Publié le : 1997-07-05
Classification:  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA],  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG] 
@article{hal-00013528,
     author = {Dubois-Violette, Michel},
     title = {Some aspects of noncommutative differential geometry},
     journal = {HAL},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00013528}
}

Dubois-Violette, Michel. Some aspects of noncommutative differential geometry. HAL, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/hal-00013528/