Maximal Subgroups of the Coxeter Group $W(H_4)$ and Quaternions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Linear Algebra and Its App. To be published

Scientific paper

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.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Maximal Subgroups of the Coxeter Group $W(H_4)$ and Quaternions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Maximal Subgroups of the Coxeter Group $W(H_4)$ and Quaternions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Maximal Subgroups of the Coxeter Group $W(H_4)$ and Quaternions will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-170705

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.