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arxiv: 1112.6383 · v2 · pith:IBL6SBYXnew · submitted 2011-12-29 · 🧮 math.QA · hep-th· math-ph· math.MP

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

classification 🧮 math.QA hep-thmath-phmath.MP
keywords covarianthodgeleftoperatorsquantumalgebrasexteriorbraidings
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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.

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