Many thanks for the continuing interest. As you say, the 2nd is closer to my level and more accessible to me. (The first is likely to take me rather longer to be able to tackle.)
Something I came across in the late Pertti Lounesto's "Clifford Algebras and Spinors" (2e, 2001; ISBN 0-521-00551-5), which resembles your 2nd ref, makes statements such as: "In general, a rotation in R^4 has two invariant planes which are completely orthogonal, in particular they have only one point in common." ( p. 83) and "There are three different kinds of rotations in four dimensions..." (p. 89). Do you think there are any references to spaces of two complex dimensions that make statements of this sort? Or maybe I should be working them out for myself. -----Original Message----- From: Gregory Woodhouse [mailto:[email protected]] Sent: 22 April 2011 18:23 To: Paul Ellis Cc: [email protected] Subject: SU(2) and friends I meant to get back to this earlier. You might want to look at Geometry of Representation Spaces in SU(2) - advanced, but with some real gems http://arxiv.org/pdf/1001.2408 The Quaternions and the Spaces S3, SU(2), SO(3), and RP3 http://www.cis.upenn.edu/~cis610/cis610sl7.pdf The first of these is fairly advanced, but if you have a background in differential geometry, it's well worth reading. The second is more accessible, using explicit matrix manipulations and such. Oh, and don't forget Wolfram Mathworld! It's a very useful online encyclopedia of mathematics. http://mathworld.wolfram.com/SpecialUnitaryGroup.html ______________________________________________________________________ This email has been scanned by the MessageLabs Email Security System on behalf of the London Business School community. For more information please visit http://www.messagelabs.com/email ______________________________________________________________________ ______________________________________________________________________ This email has been scanned by the MessageLabs Email Security System on behalf of the London Business School community. For more information please visit http://www.messagelabs.com/email ______________________________________________________________________ _________________________________________________ For list-related administrative tasks: http://lists.racket-lang.org/listinfo/users
