The Two-Parameter Higher-Order Differential Calculus and Curvature on a Quantum Plane

/ Authors

M. Baz, A. Hassouni, Y. Hassouni, E. H. Zakkari

/ Abstract

Abstract.We construct an associative differential algebra on a two-parameter quantum plane associated with a nilpotent endomorphism d in the two cases d2 = 0 and d3 = 0 (d2 ≠ 0). The correspondent curvature is derived and the related non-commutative gauge field theory is introduced.

Journal: Advances in Applied Clifford Algebras

DOI: 10.1007/S00006-007-0055-6