Differential Calculus on Almost Commutative Algebras and Applications to the Quantum Hyperplane

  • CĂTĂLIN CIUPALĂ
  • Published 2005

Abstract

In this paper we introduce a new class of differential graded algebras named DG ρ-algebras and present Lie operations on this kind of algebras. We give two examples: the algebra of forms and the algebra of noncommutative differential forms of a ρ-algebra. Then we introduce linear connections on a ρ-bimodule M over a ρ-algebra A and extend these connections to the space of forms from A to M . We apply these notions to the quantum hyperplane.

Cite this paper

@inproceedings{CIUPAL2005DifferentialCO, title={Differential Calculus on Almost Commutative Algebras and Applications to the Quantum Hyperplane}, author={CĂTĂLIN CIUPALĂ}, year={2005} }