External Edge Condition and Group Cohomologies Associated with the Quantum Clebsch-gordan Condition
نویسنده
چکیده
In this article we investigate the structure of a twisted cohomology group of the first homology of a trivalent graph with a coefficient associated with its quantum Clebsch-Gordan condition. By using this investigation we shall show the existence of the external edge cocycles defined in [3] and a finite algorithm to construct such cocycles. Such cocycles are used for a combinatorial realization of the Heisenberg action on the space of conformal blocks studied by Andersen and Masbaum [1] and Blanchet, Habegger, Masbaum and Vogel [2]. Moreover we shall give a characterization of their cohomology classes in our combinatorial setting.
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