Examples of categorification

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We construct tensor and bitensor categories with given Grothedieck rig (fusion algebra) in simple cases. The results provide examples on which to test the conjectural construction of 4-D TQFT's proposed by Crane and Frenkel and shed light on several other constructions of TQFT's.
LaTeX Sun Release 4.1, uses amssym.def and amsssym

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