Double quantum groups and Iwasawa decomposition
| dc.creator | Hodges, Timothy J. | |
| dc.date | 1996-01-23 | |
| dc.date.accessioned | 2026-07-07T09:16:48Z | |
| dc.date.available | 2026-07-07T09:16:48Z | |
| dc.description | The double quantum groups are the Hopf algebras underlying the complex quantum groups of which the simplest example is the quantum Lorentz group. They are non- standard quantizations of the double group $G \times G$. We construct a corresponding quantized universal enveloping algebra (QUE) and prove that the pairing between a quantum double group and its QUE is nondegenerate. We analyze the representation theory of these double quantum groups, give a detailed version of the Iwasawa decomposition proved by Podles and Woronowicz for the quantum Lorentz group, and show that they are noetherian algebras. Finally we outline a construction of more general non-standard quantum groups using quantum double groups and their generalizations. | |
| dc.description | AMS-Latex, 17 pages | |
| dc.identifier | https://arxiv.org/abs/q-alg/9601024 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9601024 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153486 | |
| dc.subject | Quantum Algebra | |
| dc.title | Double quantum groups and Iwasawa decomposition | |
| dc.type | text |