More on Uq(su(1, 1)) with q a Root of Unity
نویسنده
چکیده
Highest weight representations of Uq(su(1, 1)) with q = expπi/N are investigated. The structures of the irreducible hieghesat weight modules are discussed in detail. The Clebsch-Gordan decomposition for the tensor product of two irreducible representations is discussed. By using the results, a representation of SL(2,R) ⊗ Uq(su(2)) is also presented in terms of holomorphic sections which also have Uq(su(2)) index. Furthermore we realise ZN -graded supersymmetry in terms of the representation. An explicit realization of Osp(1|2) via the heighest weight representation of Uq(su(1, 1)) with q2 = −1 is given.
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