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math.QA2011
Hodge duality operators on left covariant exterior algebras over two and three dimensional quantum spheres
Alessandro Zampini
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 quan…
math.QA2011
Examples of Hodge Laplacians on quantum spheres
Alessandro Zampini
Using a non canonical braiding over the 3d left covariant calculus we present a family of Hodge operators on the quantum SU(2) and its homogeneous quantum two-sphere.
math.QA2011★ 5 cited
(A class of) Hodge duality operators over the quantum SU(2)
Alessandro Zampini
On the exterior algebra over the quantum SU(2) coming from the four dimensional bicovariant calculus à la Woronowicz we introduce, using sesquilinear contraction maps, a class of m…