Quasi-{$*$} Structure on {$q$}-Poincare algebras
| dc.creator | Majid, S. | |
| dc.date | 1995-03-23 | |
| dc.date.accessioned | 2026-07-07T09:16:29Z | |
| dc.date.available | 2026-07-07T09:16:29Z | |
| dc.description | We use braided groups to introduce a theory of $*$-structures on general inhomogeneous quantum groups, which we formulate as {\em quasi-$*$} Hopf algebras. This allows the construction of the tensor product of unitary representations up to a quantum cocycle isomorphism, which is a novel feature of the inhomogeneous case. Examples include $q$-Poincaré quantum group enveloping algebras in $R$-matrix form appropriate to the previous $q$-Euclidean and $q$-Minkowski spacetime algebras $R_{21}x_1x_2=x_2x_1R$ and $R_{21}u_1Ru_2=u_2R_{21}u_1R$. We obtain unitarity of the fundamental differential representations. We show further that the Euclidean and Minkowski Poincaré quantum groups are twisting equivalent by a another quantum cocycle. | |
| dc.description | LATEX 56 pages and two figures | |
| dc.identifier | https://arxiv.org/abs/q-alg/9503014 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9503014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153368 | |
| dc.subject | Quantum Algebra | |
| dc.title | Quasi-{$*$} Structure on {$q$}-Poincare algebras | |
| dc.type | text |