U (so(1,2)) Representations at Roots of Unity and their Realizations on the Finite Circle

Abstract

We consider some infinitesmally unitarizable highest weight modules and provide realizations of them on ! " # , the finite dimensional Hilbert space of square integrable functions on the finite circle. Actions of the $ generators on basis functions are given. In particular the Cartan generator is given as an explicit function of the adjacency operator. We… (More)

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Cite this paper

@inproceedings{MoylanUR, title={U (so(1,2)) Representations at Roots of Unity and their Realizations on the Finite Circle}, author={Patrick Moylan} }