SU(n)-Gauge Theories in Noncommutative Differential Geometry
Dubois-Violette, Michel ; Masson, Thierry
HAL, hal-00013523 / Harvested from HAL
Text on HAL
We study the noncommutative differential geometry of the algebra of endomorphisms of any SU(n)-vector bundle. We show that ordinary connections on such SU(n)-vector bundle can be interpreted in a natural way as a noncommutative 1-form on this algebra for the differential calculus based on derivations. We interpret the Lie algebra of derivations of the algebra of endomorphisms as a Lie algebroid. Then we look at noncommutative connections as generalizations of these usual connections.
Publié le : 1998-07-05
Classification:  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG] 
@article{hal-00013523,
     author = {Dubois-Violette, Michel and Masson, Thierry},
     title = {SU(n)-Gauge Theories in Noncommutative Differential Geometry},
     journal = {HAL},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00013523}
}

Dubois-Violette, Michel; Masson, Thierry. SU(n)-Gauge Theories in Noncommutative Differential Geometry. HAL, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/hal-00013523/