$SO(5)_{q}$ and Contraction
| dc.creator | Chakrabarti, Amitabha | |
| dc.date | 1994-05-26 | |
| dc.date.accessioned | 2026-07-07T04:20:14Z | |
| dc.date.available | 2026-07-07T04:20:14Z | |
| dc.description | Representations of $SO(5)_{q}$ are constructed explicitly on the Chevalley basis for all $q$, generic and root of unity. Matrix elements of the generators are obtained for all representations depending on three variable indices, the maximal number being 4. A prescription for contraction is given such that a complete Hopf algebra is immediately obtained for the non-semisimple contracted case. For $q$ a root of unity the periodic representations for $SO(5)_{q}$ and the contracted algebra are obtained directly in the "fractional part" formalism which unifies the treatments for the generic and root of unity cases. The $q$-deformed quadratic Casimir operator is explicitly evaluated for the representations presented. | |
| dc.description | 8 pages Tex, written version of a talk presented at XXX Karpacz Winter school | |
| dc.identifier | https://arxiv.org/abs/hep-th/9405165 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9405165 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/53878 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | $SO(5)_{q}$ and Contraction | |
| dc.type | text |