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

preprint2016arXivOpen access

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 ${\rm SU}_q(2)$ equipped with a three dimensional left covariant calculus.

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

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

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