6J Symbols Duality Relations
| dc.creator | Freidel, L. | |
| dc.creator | Noui, K. | |
| dc.creator | Roche, P. | |
| dc.date | 2006-04-25 | |
| dc.date.accessioned | 2026-07-07T11:27:27Z | |
| dc.date.available | 2026-07-07T11:27:27Z | |
| dc.description | It is known that the Fourier transformation of the square of (6j) symbols has a simple expression in the case of su(2) and U_q(su(2)) when q is a root of unit. The aim of the present work is to unravel the algebraic structure behind these identities. We show that the double crossproduct construction H_1\bowtie H_2 of two Hopf algebras and the bicrossproduct construction H_2^{*}\lrbicross H_1 are the Hopf algebras structures behind these identities by analysing different examples. We study the case where D= H_1\bowtie H_2 is equal to the group algebra of ISU(2), SL(2,C) and where D is a quantum double of a finite group, of SU(2) and of U_q(su(2)) when q is real. | |
| dc.description | 28 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/hep-th/0604181 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0604181 | |
| dc.identifier | J.Math.Phys.48:113512,2007 | |
| dc.identifier | doi:10.1063/1.2803507 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/196152 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | 6J Symbols Duality Relations | |
| dc.type | text |