Différentielles non commutatives et théorie de Galois différentielle ou aux différences
Dirac operator on the standard Podleś quantum sphere
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.