Reflection Equation Algebra of a $(h,w)$-deformed Oscillator
| dc.creator | Abdesselam, Boucif | |
| dc.creator | Chakrabarti, Ranabir | |
| dc.date | 1997-06-27 | |
| dc.date.accessioned | 2026-07-07T09:17:36Z | |
| dc.date.available | 2026-07-07T09:17:36Z | |
| dc.description | We consider the reflection equation algebra for a finite dimensional R-matrix for the $(h,w)$-deformed Heisenberg algebra ${\cal U}_{h,w}(h(4))$. A representation of the reflection matrix $K$ is constructed using the matrix generators $L^{(\pm)}$ of the ${\cal U}_{h,w}(h(4))$ algebra. A series of representations of the K-matrix then may be generated by using the coproduct rules of the ${\cal U}_{h,w}(h(4))$ algebra. The complementary condition necessary for combining two distinct solutions of the reflection equation algebra yields the braiding relations between these two sets of generators. This may be thought as a generalization of Bose-Fermi statistics to braiding statistics, which them may be used to provide a new braided colagebraic structure to a Hopf algebra generated by the elements of the matrix $K$. The reflection equation algebra and the braided exchange properties are found to depend on both deformation parameters $h$ and $w$. | |
| dc.description | 14 pages, Latex, no figures | |
| dc.identifier | https://arxiv.org/abs/q-alg/9706032 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9706032 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153728 | |
| dc.subject | Quantum Algebra | |
| dc.title | Reflection Equation Algebra of a $(h,w)$-deformed Oscillator | |
| dc.type | text |