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Algebry operatorów i ich zastosowania w fizyce

sala seminaryjna KMMF, Hoża 74, Vp.
2014-03-27 (13:15) Calendar icon
Paweł Kasprzak (KMMF)

Rieffel deformation of tensor functor and braided quantum groups (II)

In this talk we apply Rieffel deformation to the tensor product considered as a functor in the category of C* -algebras with an abelian group action. In the case of the Rieffel deformation applied to a quantum group with the abelian group acting by automorphisms the deformed tensor product enables us to view the deformed object as a braided quantum group. Weuse this construction as a hint towards a general theory of braided quantum groups. In particular we construct a bicharacter together with the dual braided quantum group. We employ our methode to get a braided quantum Minkowski space. Its description in terms of the deformedspace-time coordinates is provided.

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