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Quantum Weyl algebras

High Energy Physics - Theory 2008-02-03 v1 Quantum Algebra

Abstract

For any Hecke symmetry RR there is a natural quantization An(R)A_n(R) of the Weyl algebra AnA_n. The aim of this paper is to study some general ring-theoretic aspects of An(R)A_n(R) and its relations to formal deformations of AnA_n. We also obtain further information on those quantizations obtained from some well-known Hecke symmetries.

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Cite

@article{arxiv.hep-th/9310196,
  title  = {Quantum Weyl algebras},
  author = {A. Giaquinto and J. J. Zhang},
  journal= {arXiv preprint arXiv:hep-th/9310196},
  year   = {2008}
}

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21 pages