q-deformed algebras $U_q(so_n)$ and their representations
| dc.creator | Gavrilik, A. M. | |
| dc.creator | Iorgov, N. Z. | |
| dc.date | 1997-09-24 | |
| dc.date | 1998-12-21 | |
| dc.date.accessioned | 2026-07-07T09:08:52Z | |
| dc.date.available | 2026-07-07T09:08:52Z | |
| dc.description | For the nonstandard $q$-deformed algebras $U_q(so_n)$, defined recently in terms of trilinear relations for generating elements, most general finite dimensional irreducible representations directly corresponding to those of nondeformed algebras $so(n)$ (i.e., characterized by the same sets of only integers or only half-integers as in highest weights of the latter) are given explicitly in a $q$-analogue of Gel'fand-Tsetlin basis. Detailed proof, for $q$ not equal to a root of unity, that representation operators indeed satisfy relevant (trilinear) relations and define finite dimensional irreducible representations is presented. The results show perfect suitability of the Gel'fand-Tsetlin formalism concerning (nonstandard) $q$-deformation of $so(n)$. | |
| dc.description | LaTeX, 14 pages. Minor corrections. Final version as published in Methods of Functional Analysis and Topology | |
| dc.identifier | https://arxiv.org/abs/q-alg/9709036 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9709036 | |
| dc.identifier | Methods Func.Anal.Topol. 3, no.4, 51-63 (1997) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150874 | |
| dc.subject | Quantum Algebra | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | q-deformed algebras $U_q(so_n)$ and their representations | |
| dc.type | text |