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Jul 23, 2011 at 15:56 comment added agt @Richard Montgomery: Sometimes it is useful to denote $Sp(n)$ as $Usp(2n)$, for any integer $n$. The isomorphism between $Spin(5)$ and $Sp(2)$ is reviewed in section 2 of the following paper by Salamon, calvino.polito.it/~salamon/T/tour.pdf.
Jul 19, 2011 at 4:27 comment added Richard Montgomery Thank you very much Yuji. Could you give me a reference for what $USp(4)$ means and for the isomorphism you began with? -Richard
Jul 17, 2011 at 17:32 history answered Yuji Tachikawa CC BY-SA 3.0