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R-operator, co-product and Haar-measure for the modular double of U_q(sl(2,R)) | | A. Bytsko
; J. Teschner
; | | Date: |
23 Aug 2002 | | Journal: | Commun.Math.Phys. 240 (2003) 171-196 | | Subject: | Quantum Algebra | math.QA hep-th | | Abstract: | A certain class of unitary representations of U_q(sl(2,R)) has the property of being simultanenously a representation of U_{tilde{q}}(sl(2,R)) for a particular choice of tilde{q}(q). Faddeev has proposed to unify the quantum groups U_q(sl(2,R)) and U_{tilde{q}}(sl(2,R)) into some enlarged object for which he has coined the name ``modular double’’. We study the R-operator, the co-product and the Haar-measure for the modular double of U_q(sl(2,R)) and establish their main properties. In particular it is shown that the Clebsch-Gordan maps constructed in [PT2] diagonalize this R-operator. | | Source: | arXiv, math.QA/0208191 | | Services: | Forum | Review | PDF | Favorites | |
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