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Sep 15, 2010 at 16:15 vote accept genshin
Sep 15, 2010 at 15:05 history edited Sheikraisinrollbank CC BY-SA 2.5
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Sep 15, 2010 at 13:04 comment added genshin Thank you for the reference. As I found it, branching rules are mainly concerned with behavior of irreducible representations restricted to Levi subgroups. The case $SO_3\subset SO_4$ should finally fall into this situation. And what about $SO_3\subset SL_3$? $SO_3$ is its own normalizer in $SL_3$, with trivial centralizer. In view of mathoverflow.net/questions/18764, it is not associated to a Dykin subdiagram for that of $SL_3$. I expect the situation to be different in this case.
Sep 15, 2010 at 10:21 history answered Sheikraisinrollbank CC BY-SA 2.5