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

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