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Comment on the differential calculus on the quantum exterior plane

Salih Celik·Sultan A. Celik·Metin Arik
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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 $GL_{p,q}(2)$. We also give a two-parameter deformation of the fermionic oscillator algebra.

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Salih Celik, Sultan A. Celik, Metin Arik. 2001-12-12. Comment on the differential calculus on the quantum exterior plane. https://doi.org/10.1142/s0217732398001728

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