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Hodge duality operators on left covariant exterior algebras over two and three dimensional quantum spheres

arXiv:1112.6383

Abstract

Using non canonical braidings, we first introduce a notion of symmetric tensors and corresponding Hodge operators on a class of left covariant 3d differential calculi over the quantum SU(2) group, then we induce Hodge operators on the left covariant 2d exterior algebras over the standard Podles quantum sphere.

23 pages - this is a new expanded version replacing the previous version