most recent 30 from http://mathoverflow.net 2013-05-18T21:57:11Z http://mathoverflow.net/feeds/user/16739 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/84388/presentation-of-the-clifford-group-by-generators-and-relations/84431#84431 r n tsai 2011-12-28T06:52:44Z 2011-12-28T06:52:44Z

<p>I don't have Lawson and Michelson's "Spin Geometry'" but this presentation looks like that of the extraspecial group of order 2^{2n+1} which is a subgroup of the Clifford group.</p>

http://mathoverflow.net/questions/71270/highest-weight-representation-and-electromagnetic-fields/71350#71350 r n tsai 2011-07-26T20:12:08Z 2011-07-26T20:12:08Z

<p>I think I see the discrepancy. The 6 components of the field then do NOT transform as a 6 dimensional rep, even for a fixed spacetime point. The action is :</p> <p>F(x) -> M(g) * F(g' x) (F=field, M : 6x6 matrix)</p> <p>which is an infinite dimensional rep. I don't see any finite reps here at all; so the common statement "the electromagnetic field transforms as a 6 dimensional rep..." really isn't true. That being said, is there any way to adapt the well structured theory of highest weight representation to this infinite representation....</p>