Analysis on the 2-Dim Quantum Poincare` Group at Roots of Unity
| dc.creator | Ahmedov, H. | |
| dc.date | 1998-08-27 | |
| dc.date.accessioned | 2026-07-07T05:25:48Z | |
| dc.date.available | 2026-07-07T05:25:48Z | |
| dc.description | 2-Dim quantum Poincare` Group E_q(1,1) at roots of unity, its dual U_q(e(1,1)) and some of its homogeneous spaces are introduced. Invariant integrals on E_q(1,1) and its invariant discrete subgroup E(1,1\mid p) are constructed. *-Representations of the quantum algebra U_q(e(1,1)) constructed in the homogeneous space SO(1,1\mid p) are integrated to the pseudo-unitary representations of E_q(1,1) by means of the universal T-matrix. U_q(e(1,1)) is realized on the quantum plane E_q^{(1,1)} and the eigenfunctions of the complete set of observables are obtained in the angular momentum and momentum basis. The matrix elements of the pseudo-unitary irreducible representations are given in terms of the cut off q-exponential and q-Bessel functions whose properties we also investigate. | |
| dc.description | latex, 18 pages | |
| dc.identifier | https://arxiv.org/abs/math/9808110 | |
| dc.identifier | http://arxiv.org/abs/math/9808110 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77320 | |
| dc.subject | Quantum Algebra | |
| dc.title | Analysis on the 2-Dim Quantum Poincare` Group at Roots of Unity | |
| dc.type | text |