Dirac Operator on the Standard Podles Quantum Sphere
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quantumdiracoperatorspherestandardalgebraalgebraicbounded
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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.
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