Hilbert space representations of cross product algebras II
| dc.creator | Schmuedgen, Konrad | |
| dc.creator | Wagner, Elmar | |
| dc.date | 2003-08-25 | |
| dc.date.accessioned | 2026-07-07T05:00:35Z | |
| dc.date.available | 2026-07-07T05:00:35Z | |
| dc.description | In this paper, we study and classify Hilbert space representations of cross product *-algebras of the quantized enveloping algebra $U_q(e_2)$ with the coordinate algebras $O(E_q(2))$ of the quantum motion group and $O(\C_q)$ of the complex plane, and of the quantized enveloping algebra $U_q(su_{1,1})$ with the coordinate algebras $O(SU_q(1,1))$ of the quantum group $SU_q(1,1)$ and $O(U_q)$ of the quantum disc. Invariant positive functionals and the corresponding Heisenberg representations are explicitely described. | |
| dc.description | 42 pages | |
| dc.identifier | https://arxiv.org/abs/math/0308229 | |
| dc.identifier | http://arxiv.org/abs/math/0308229 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68377 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B37; 81R50; 47L60 | |
| dc.title | Hilbert space representations of cross product algebras II | |
| dc.type | text |