Two-parameter differential calculus on the h-superplane

Abstract

We introduce a noncommutative differential calculus on the two-parameter h-superplane via a contraction of the (p,q)-superplane. We manifestly show that the differential calculus is covariant under GL(h1),h(2)(1\1) transformations. We also give a two-parameter deformation of the (1+1)-dimensional phase space algebra. (C) 1999 American Institute of Physics. [S0022-2488(99)04010-4].