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Hodge dualities and Laplacians on quantum spheres

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A. Zampini
Tue, 23/08/2011 - 14:00 - 15:00

In this talk I shall describe how it is possible to define Hodge dualities acting on a class of exterior algebras over the quantum group SU(2) and its quantum homogeneous sphere, and the class of corresponding Laplacians. I shall then compare it with the results coming from both similar (related to different definition of Hodge dualities) and different (related to the construction of a Dirac operator) approaches.

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