Abstract : We report in this article three- and four-term recursion relations for Clebsch-Gordan coefficients of the quantum algebras U_q(su_2) and U_q(su_{1,1}). These relations were obtained by exploiting the complementarity of three quantum algebras in a q-deformation of sp(8, \gr).
http://hal.in2p3.fr/in2p3-00005215 Contributor : Sylvie FloresConnect in order to contact the contributor Submitted on : Wednesday, November 17, 1999 - 4:33:47 PM Last modification on : Friday, September 10, 2021 - 1:50:04 PM
M. Kibler, C. Campigotto, yu.F. Smirnov. Recursion relations for Clebsch-Gordan coefficients of U$_q$(SU$_2$) and U$_q$(SU$_{1,1}$). International Workshop on Symmetry Methods in Physics, Jul 1993, Dubna, Russia. pp.247-252. ⟨in2p3-00005215⟩