Quasitriangular and differential structures on bicrossproduct Hopf algebras
| dc.creator | Beggs, E. | |
| dc.creator | Majid, S. | |
| dc.date | 1997-01-30 | |
| dc.date.accessioned | 2026-07-07T09:17:27Z | |
| dc.date.available | 2026-07-07T09:17:27Z | |
| dc.description | Let X=GM be a finite group factorisation. It is shown that the quantum double D(H) of the associated bicrossproduct Hopf algebra $H=kM\cobicross k(G)$ is itself a bicrossproduct $kX\cobicross k(Y)$ associated to a group YX, where $Y=G\times M^{op}$. This provides a class of bicrossproduct Hopf algebras which are quasitriangular. We also construct a subgroup $Y^θX^θ$ associated to every order-reversing automorphism $θ$ of X. The corresponding Hopf algebra $kX^θ\cobicross k(Y^θ)$ has the same coalgebra as H. Using related results, we classify the first order bicovariant differential calculi on H in terms of orbits in a certain quotient space of X. | |
| dc.description | 38 pages latex, no figures | |
| dc.identifier | https://arxiv.org/abs/q-alg/9701041 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9701041 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153672 | |
| dc.subject | Quantum Algebra | |
| dc.title | Quasitriangular and differential structures on bicrossproduct Hopf algebras | |
| dc.type | text |