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U q (sl(2)) Invariant operators and reduced polynomial identities

  • II. Representation of Special Quantum Groups
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Quantum Groups

Part of the book series: Lecture Notes in Physics ((LNP,volume 370))

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Abstract

The existence of U q (sl(2)) invariant operators for q P = 1 leads to relations for the quantum Clebsch - Gordan kernels and for the quantum 6j-symbols (= fusion matrices). These relations effectively reduce some equalities, inherited from the generic q case, and imply, in particular, that the polynomial identities for the quantum 6 j -symbols are consistent with the minimal theories chiral fusion rules.

Talk given by V.B. Petkova

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H. -D. Doebner J. -D. Hennig

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© 1990 Springer-Verlag

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Ganchev, A.C., Petkova, V.B. (1990). U q (sl(2)) Invariant operators and reduced polynomial identities. In: Doebner, H.D., Hennig, J.D. (eds) Quantum Groups. Lecture Notes in Physics, vol 370. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-53503-9_43

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  • DOI: https://doi.org/10.1007/3-540-53503-9_43

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  • Online ISBN: 978-3-540-46647-5

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