Fusion of q-tensor operators: quasi-Hopf-algebraic point of view
| dc.creator | Bytsko, Andrei G. | |
| dc.date | 1996-09-07 | |
| dc.date | 1997-03-01 | |
| dc.date.accessioned | 2026-07-07T09:04:57Z | |
| dc.date.available | 2026-07-07T09:04:57Z | |
| dc.description | Tensor operators associated with a given quantum Lie algebra admit a natural description in the R-matrix language. Here we employ the R-matrix approach to discuss the problem of fusion of tensor operators. The most interesting case is provided by the quantum WZNW model, where, by construction, we deal with sets of linearly independent tensor operators. In this case the fusion problem is equivalent to construction of an analogue F(p) of the twisting element F which is employed in Drinfeld's description of quasi-Hopf algebras. We discuss the construction of the twisting element F(p) in a general situation and give illustrating calculations for the case of the fundamental representation of U_q(sl(2)). | |
| dc.description | 18 pages, LaTex. Some corrections made, one subsection (3.4) added. Few references added | |
| dc.identifier | https://arxiv.org/abs/q-alg/9609007 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9609007 | |
| dc.identifier | Zap.Nauchn.Semin. POMI 245 (1997) 107-129; J.Math.Sciences 100 (2000) 2077-2091 (Engl. transl.) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149569 | |
| dc.subject | Quantum Algebra | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Fusion of q-tensor operators: quasi-Hopf-algebraic point of view | |
| dc.type | text |