More on $U_q(su(1,1))$ with $q$ a Root of Unity
High Energy Physics - Theory
2009-10-22 v1 Quantum Algebra
Abstract
Highest weight representations of with 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 is also presented in terms of holomorphic sections which also have index. Furthermore we realise -graded supersymmetry in terms of the representation. An explicit realization of via the heighest weight representation of with is given.
Keywords
Cite
@article{arxiv.hep-th/9312079,
title = {More on $U_q(su(1,1))$ with $q$ a Root of Unity},
author = {Takashi Suzuki},
journal= {arXiv preprint arXiv:hep-th/9312079},
year = {2009}
}
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24 pages