Comment on the differential calculus on the quantum exterior plane

Details Comment on the differential calculus on the quantum exterior plane Comment on the differential calculus on the quantum exterior plane

2001-12-12

arxiv.org/abs/math/0112125v1

Modern Phys. Lett. A 13 (1998), 1645-1651

Mathematics

Quantum Algebra

7 pages

Scientific paper

10.1142/S0217732398001728

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 $GL_{p,q}(2)$. We
also give a two-parameter deformation of the fermionic oscillator algebra.

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