Dirac operator on the standard Podleś quantum sphere
Volume 61 / 2003
Banach Center Publications 61 (2003), 49-58
MSC: Primary 58B34; Secondary 17B37.
DOI: 10.4064/bc61-0-4
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 $\gamma$, reality structure $J$ and the Dirac operator $D$, which has bounded commutators with the elements of the algebra and satisfies the first order condition.
