A Hodge - De Rham Dirac operator on the quantum $\mathrm{SU}(2)$

Abstract

We describe how it is possible to describe irreducible actions of the Hodge - de Rham Dirac operator upon the exterior algebra over the quantum spheres ${\mathrm{SU}}_q(2)$ equipped with a three dimensional left covariant calculus.

18 pages

References in corpus (4)

• Dirac Operators on Quantum Projective Spaces
• Bounded and unbounded Fredholm modules for quantum projective spaces
• Warped Products and Yang-Mills equations on non commutative spaces
• Some Notes on Dirac operators on the ${\mathrm{S}}^3$ and ${\mathrm{S}}^2$ spheres

Cited by in corpus (2)

• Derivation based differential calculi for noncommutative algebras deforming a class of three dimensional spaces
• Symmetries and Reduction. Part II - Lagrangian and Hamilton-Jacobi picture