Dear Krishna, it depends upon the way your group is given, a lot, as well as on particular properties of it.
E.g. if it is a finite group you can, by computing the character table (actually, a part of it) easily see whether it has a faithful 3-dimensional complex representation (which will be a unitary representation), and then, with a bit more effort, to see whether such a representation is into SU(3), or not. For infinite groups this is in general much harder, IMHO. On the other hand if it is already a subgroup of GL(3) then this should be easy... Best, Dmitrii On 1 May 2010 19:36, krishna mohan <trebauchet1...@yahoo.co.in> wrote: > Hi.. > > Suppose I have a group and want to find whether its a subgroup of > SU(3). How can I > do that in GAP? > > Krishna Mohan > Project Assistant > CHEP > Indian Institute of Science > Bangalore >> > > --- On Fri, 30/4/10, Scott Murray <scott.mur...@canberra.edu.au> wrote: > > From: Scott Murray <scott.mur...@canberra.edu.au> > Subject: Re: [GAP Forum] SU(n) group > To: "krishna mohan" <trebauchet1...@yahoo.co.in> > Date: Friday, 30 April, 2010, 4:14 PM > > Dear Krishna, > > It is possible in GAP to define the root datum of SU(n). I don't > think you can define the group over the complex numbers. GAP is not > designed for numerical analysis. However, it is useful for > representation theory problems that reduce to combinatorics of roots > and weights, like branching and plethysm problems. > > If you let me know what specific computation you want to do, I might > be able to help further. > > All the best, > Scott Murray. > > > > On 30 April 2010 17:41, krishna mohan <trebauchet1...@yahoo.co.in> wrote: >> In GAP, can I define an SU(n) group over complex numbers? >> >> >> Krishna Mohan >> Project Assistant >> CHEP >> Indian Institute of Science >> Bangalore >> >> >> _______________________________________________ >> Forum mailing list >> Forum@mail.gap-system.org >> http://mail.gap-system.org/mailman/listinfo/forum >> > > > _______________________________________________ > Forum mailing list > Forum@mail.gap-system.org > http://mail.gap-system.org/mailman/listinfo/forum > -- Dmitrii Pasechnik ----- DISCLAIMER: Any text following this sentence does not constitute a part of this message, and was added automatically during transmission. CONFIDENTIALITY: This email is intended solely for the person(s) named and may be confidential and/or privileged. If you are not the intended recipient, please delete it, notify us and do not copy, use, or disclose its content. Thank you. Towards A Sustainable Earth: Print Only When Necessary _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum
