English

Two-parameter differential calculus on the h-superplane

Quantum Algebra 2009-11-07 v1 Differential Geometry

Abstract

We introduce a noncommutative differential calculus on the two-parameter hh-superplane via a contraction of the (p,q)-superplane. We manifestly show that the differential calculus is covariant under GLh1,h2(11)GL_{h_1,h_2}(1| 1) transformations. We also give a two-parameter deformation of the (1+1)-dimensional phase space algebra.

Keywords

Cite

@article{arxiv.math/0112139,
  title  = {Two-parameter differential calculus on the h-superplane},
  author = {Salih Celik and Sultan A. Celik},
  journal= {arXiv preprint arXiv:math/0112139},
  year   = {2009}
}

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14 pages