English

Comment on the differential calculus on the quantum exterior plane

Quantum Algebra 2009-11-07 v1 Mathematical Physics math.MP

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

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Cite

@article{arxiv.math/0112125,
  title  = {Comment on the differential calculus on the quantum exterior plane},
  author = {Salih Celik and Sultan A. Celik and Metin Arik},
  journal= {arXiv preprint arXiv:math/0112125},
  year   = {2009}
}

Comments

7 pages

R2 v1 2026-07-22T16:42:07.181Z