Further results on coset representative categories
| dc.creator | Al-Shomrani, M. M. | |
| dc.creator | Beggs, E. J. | |
| dc.date | 2007-02-16 | |
| dc.date.accessioned | 2026-07-07T07:47:21Z | |
| dc.date.available | 2026-07-07T07:47:21Z | |
| dc.description | This paper is devoted to further results on the nontrivially associated categories $\mathcal{C}$ and $\mathcal{D}$, which are constructed from a choice of coset representatives for a subgroup of a finite group. We look at the construction of integrals in the algebras $A$ and $D$ in the categories. These integrals are used to construct abstract projection operators to show that general objects in $\mathcal{D}$ can be split into a sum of simple objects. The braided Hopf algebra $D$ is shown to be braided cocommutative, but not braided commutative. Extensions of the categories and their connections with conjugations and inner products are discussed. | |
| dc.description | several picture files | |
| dc.identifier | https://arxiv.org/abs/math/0702490 | |
| dc.identifier | http://arxiv.org/abs/math/0702490 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124139 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 16W30; 18D10 | |
| dc.title | Further results on coset representative categories | |
| dc.type | text |