Timeline for When does an irreducible representation remain irreducible after restriction to a semi-simple subgroup?
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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 |