The Noncommutative Inhomogeneous Hopf Algebra
| dc.creator | Lagraa, M. | |
| dc.creator | Touhami, N. | |
| dc.date | 1997-05-07 | |
| dc.date | 1997-11-28 | |
| dc.date.accessioned | 2026-07-07T09:05:00Z | |
| dc.date.available | 2026-07-07T09:05:00Z | |
| dc.description | From the bicovariant first order differential calculus on inhomogeneous Hopf algebra ${\cal B}$ we construct the set of right-invariant Maurer-Cartan one-forms considered as a right-invariant basis of a bicovariant ${\cal B}$-bimodule over which we develop the Woronowicz's general theory of differential calculus on quantum groups. In this formalism, we introduce suitable functionals on ${\cal B}$ which control the inhomogeneous commutation rules. In particular we find that the homogeneous part of commutation rules between the translations and those between the generators of the homogeneous part of ${\cal B}$ and translations are controled by different R-matrices satisfying nontrivial characteristic equations. | |
| dc.description | 25 pages, TeX, no figures. A section concerning the consistency conditions between the different functionals and the inhomogeneous commutation rules is added. Some references are also added | |
| dc.identifier | https://arxiv.org/abs/q-alg/9705005 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9705005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149587 | |
| dc.subject | Quantum Algebra | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Noncommutative Inhomogeneous Hopf Algebra | |
| dc.type | text |