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Differential calculus on the h-superplane

Quantum Algebra 2007-05-23 v2 Differential Geometry

Abstract

A non-commutative differential calculus on the hh-superplane is presented via a contraction of the qq-superplane. An R-matrix which satisfies both ungraded and graded Yang-Baxter equations is obtained and a new deformation of the (1+1)(1+1) dimensional classical phase space (the super-Heisenberg algebra) is introduced.

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Cite

@article{arxiv.math/0112124,
  title  = {Differential calculus on the h-superplane},
  author = {Salih Celik and Sultan A. Celik and Metin Arik},
  journal= {arXiv preprint arXiv:math/0112124},
  year   = {2007}
}

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14 pages