Lectures on graded differential algebras and noncommutative geometry

Michel Dubois-Violette (1)

1 LPT - Laboratoire de Physique Théorique d'Orsay [Orsay]

These notes contain a survey of some aspects of the theory of graded differential algebras and of noncommutative differential calculi as well as of some applications connected with physics. They also give a description of several new developments.

Domaines: Algèbres quantiques [math.QA]; Physique mathématique [math-ph]; Physique mathématique [math-ph]; Physique des Hautes Energies - Théorie [hep-th]

Michel Dubois-Violette. Lectures on graded differential algebras and noncommutative geometry. 2001, pp.245-306. ⟨hal-00013491⟩