Recent content by AJPsi

Thanks all, I have found a prof in a maths department not too far away who is up on this stuff, so will take this info and the last couple of replies and report back in a couple of weeks. Again, thanks all.

Thank you for your thoughts and time on this. The equation simply generates 672 permutations of vectors expressed as coordinates in 8 dimensions (actually 4C is a more convenient way of expressing it) ; Each co-ordinate lies on the unit circle (unit vector), and is a root of the the equation...

Many thanks. That program by Teake is proving to be easy to use and really useful even if it cannot quite do what I need "out of the box". And understanding algorithms and programming is trivial for me even if the more arcane theorems in group theory are not. More precisely it is the difficulty...

Ok, given Arivero's post subsequent to my last post, that effort needs to be acknowledged so I will break my word on that basis. The roots of SO(8) and the roots of SU(4) are both members of a sub-group of 48 vectors of the total 672 vectors I have. Perhaps I need to find a list of known root...

I am just really bad at social media. What you infer is a long way from my intent, and my background (I can PM you some personal and professional references so you need not take my word for it). Since I cannot close a thread myself, I expect the moderator will send a warning in due course and...

Well nobody has warned me. All I have done is ask for some help with a problem and Physicsforums seems such a smiley face "Fusion of science and community" This is my first post and I had not been able to judge the impolite culture of this community. Consider this thread closed.

In short, in a roundabout way. Bear with me, or better yet beer with me. As part of my research into the unification problem I took a long hard look at a rather old fashioned topic in physics; that of principles of least action. In particular I asked the question: "Is there a mathematical...

I am slowly learning about group theory, but this is a new topic of study for me (the root system for this group came out of other considerations in physics which I do know more about!) Since this problem is a means to an end for me, and not an end in itself, I thought asking for help might make...

Thanks, this is almost what I need. But I have the root system and want to go the Dynkin diagram, and from first read, this program goes the other way. Nonetheless I will give it a go and report back!

While investigating various aspects of generalised least action principles over the last several years I have come across an algebraic mathematical group that I am finding hard to classify but whose root vectors should relate to the standard model (no it is not E8 ! nor any exceptional group I...