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 GLp,q(2). We also give a two-parameter deformation of the fermionic oscillator algebra.
- Publication:
-
Modern Physics Letters A
- Pub Date:
- 1998
- DOI:
- 10.1142/S0217732398001728
- arXiv:
- arXiv:math/0112125
- Bibcode:
- 1998MPLA...13.1645C
- Keywords:
-
- Mathematics - Quantum Algebra;
- Mathematical Physics;
- 17B37;
- 81R50
- E-Print:
- 7 pages