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Article overview
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Tensor Products of Principal Unitary Representations of Quantum Lorentz Group and Askey-Wilson Polynomials | | E.Buffenoir
; Ph.Roche
; | | Date: |
27 Oct 1999 | | Journal: | J.Math.Phys. 41 (2000) 7715-7751 | | Subject: | Quantum Algebra | math.QA gr-qc hep-th | | Affiliation: | CNRS UMR 5825), Ph.Roche (MIT Math.Dept. | | Abstract: | We study the tensor product of principal unitary representations of the quantum Lorentz group, prove a decomposition theorem and compute the associated intertwiners. We show that these intertwiners can be expressed in terms of complex continuations of 6j symbols of U_q(su(2)). These intertwiners are expressed in terms of q-Racah polynomials and Askey-Wilson polynomials. The orthogonality of these intertwiners imply some relation mixing these two families of polynomials. The simplest of these relations is the orthogonality of Askey-Wilson polynomials. | | Source: | arXiv, math.QA/9910147 | | Services: | Forum | Review | PDF | Favorites | |
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