Maximal Subgroups of the Coxeter Group $W(H_4)$ and Quaternions
| dc.creator | Koca, Mehmet | |
| dc.creator | Koc, Ramazan | |
| dc.creator | Al-Barwani, Muataz | |
| dc.creator | Al-Farsi, Shadia | |
| dc.date | 2005-10-22 | |
| dc.date.accessioned | 2026-07-07T06:46:56Z | |
| dc.date.available | 2026-07-07T06:46:56Z | |
| dc.description | The largest finite subgroup of O(4) is the noncrystallographic Coxeter group $W(H_{4})$ of order 14400. Its derived subgroup is the largest finite subgroup $W(H_{4})/Z_{2}$ of SO(4) of order 7200. Moreover, up to conjugacy, it has five non-normal maximal subgroups of orders 144, two 240, 400 and 576. Two groups $[ W(H_{2})\times W(H_{2})] \times Z_{4}$ and $W(H_{3})\times Z_{2}$ possess noncrystallographic structures with orders 400 and 240 respectively. The groups of orders 144, 240 and 576 are the extensions of the Weyl groups of the root systems of $SU(3)\times SU(3)$%, SU(5) and SO(8) respectively. We represent the maximal subgroups of $% W(H_{4})$ with sets of quaternion pairs acting on the quaternionic root systems. | |
| dc.description | Linear Algebra and Its App. To be published | |
| dc.identifier | https://arxiv.org/abs/hep-th/0510191 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0510191 | |
| dc.identifier | Linear Algebra Appl. 412 (2006) 441-452 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103499 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Maximal Subgroups of the Coxeter Group $W(H_4)$ and Quaternions | |
| dc.type | text |