Dirac Operator on the Standard Podles Quantum Sphere

Ludwik Dabrowski; Andrzej Sitarz

doi:10.4064/bc61-0-4

Dirac Operator on the Standard Podles Quantum Sphere

量子代数 2012-11-08 v3 数学物理 math.MP

作者: Ludwik Dabrowski , Andrzej Sitarz

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摘要

Using principles of quantum symmetries we derive the algebraic part of the real spectral triple data for the standard Podle\'s quantum sphere: equivariant representation, chiral grading $\gamma$ , reality structure $J$ and the Dirac operator $D$ , which has bounded commutators with the elements of the algebra and satisfies the first order condition.

关键词

dirac operators

引用

@article{arxiv.math/0209048,
  title  = {Dirac Operator on the Standard Podles Quantum Sphere},
  author = {Ludwik Dabrowski and Andrzej Sitarz},
  journal= {arXiv preprint arXiv:math/0209048},
  year   = {2012}
}

备注

10 pages, LaTeX, to appear in Banach Center Publication

Dirac Operator on the Standard Podles Quantum Sphere

摘要

关键词

引用

备注

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