Comment on the differential calculus on the quantum exterior plane

Abstract

We give a two-parameter quantum deformation of the exterior plane and its differential calculus without the use of any R-matrix and relate it to the differential calculus with the R-matrix. We prove that there are two types of solutions of the Yang-Baxter equation whose symmetry group is $G{L}_{p,q}(2)$. We also give a two-parameter deformation of the fermionic oscillator algebra.

7 pages