Dirac operator on the standard Podleś quantum sphere

Ludwik Dąbrowski; Andrzej Sitarz

Banach Center Publications (2003)

  • Volume: 61, Issue: 1, page 49-58
  • ISSN: 0137-6934

Abstract

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

How to cite

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Ludwik Dąbrowski, and Andrzej Sitarz. "Dirac operator on the standard Podleś quantum sphere." Banach Center Publications 61.1 (2003): 49-58. <http://eudml.org/doc/282041>.

@article{LudwikDąbrowski2003,
abstract = {Using principles of quantum symmetries we derive the algebraic part of the real spectral triple data for the standard Podleś quantum sphere: equivariant representation, chiral grading γ, reality structure J and the Dirac operator D, which has bounded commutators with the elements of the algebra and satisfies the first order condition.},
author = {Ludwik Dąbrowski, Andrzej Sitarz},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {49-58},
title = {Dirac operator on the standard Podleś quantum sphere},
url = {http://eudml.org/doc/282041},
volume = {61},
year = {2003},
}

TY - JOUR
AU - Ludwik Dąbrowski
AU - Andrzej Sitarz
TI - Dirac operator on the standard Podleś quantum sphere
JO - Banach Center Publications
PY - 2003
VL - 61
IS - 1
SP - 49
EP - 58
AB - Using principles of quantum symmetries we derive the algebraic part of the real spectral triple data for the standard Podleś quantum sphere: equivariant representation, chiral grading γ, reality structure J and the Dirac operator D, which has bounded commutators with the elements of the algebra and satisfies the first order condition.
LA - eng
UR - http://eudml.org/doc/282041
ER -

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