Clebch-Gordan and Racah-Wigner coefficients for $U_q(SU(1,1))$
Nadejda A. Liskova, Anatol N. Kirillov
TL;DR
This paper computes the Clebsch-Gordan and Racah-Wigner coefficients for the positive and negative discrete series of irreducible representations of the quantum algebra U_q(SU(1,1)), a noncompact quantum group.
Contribution
It provides explicit calculations of these coefficients for U_q(SU(1,1)), extending the understanding of quantum group representation theory for noncompact cases.
Findings
Explicit formulas for Clebsch-Gordan coefficients.
Explicit formulas for Racah-Wigner coefficients.
Application to noncompact quantum group representations.
Abstract
The Clebsch-Gordan and Racah-Wigner coefficients for the positive (or negative) discrete series of irreducible representations for the noncompact form of the algebra are computed.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Nonlinear Waves and Solitons