The Generic Superintegrable System on the 3-Sphere and the 9j Symbols of su(1, 1)

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2014
• Main Authors: Vincent X. Genest, Vinet, L.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146406
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Generic Superintegrable System on the 3-Sphere and the 9j Symbols of su(1, 1)
 / Vincent X. Genest, L. Vinet // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 34 назв. — англ.

The 9j symbols of su(1,1) are studied within the framework of the generic superintegrable system on the 3-sphere. The canonical bases corresponding to the binary coupling schemes of four su(1,1) representations are constructed explicitly in terms of Jacobi polynomials and are seen to correspond to t...