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Apr 24, 2014 at 22:04 vote accept MRD1729
Apr 19, 2014 at 21:40 answer added paul garrett timeline score: 4
Apr 19, 2014 at 15:02 comment added Jim Humphreys I'm not sure what kind of reading you've done, but the general structure of the Iwahori decomposition for a semisimple Lie group or Lie algebra is laid out (for instance) in VI.4-5 of Knapp's book Lie Groups Beyond an Introduction. He discusses examples including these orthogonal groups on page 324, where the factors are reasonably explicit.
Apr 19, 2014 at 14:40 history asked MRD1729 CC BY-SA 3.0