Timeline for Highest weights of the restriction of an irreducible representation of a simple group to a Levi subgroup
Current License: CC BY-SA 2.5
3 events
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| Aug 17, 2010 at 3:17 | comment | added | Sasha | I do understand that the branching rules is a rather complicated question, but the point is that I ask about a simpler thing. This is analogous to the following - if we consider the tensor product $V_G^\lambda \otimes V_G^\mu$ then the multiplicities of irreducible $G$-modules are complicated. However, there is a simple restriction saying that all the highest weights are contained in $Conv(\lbrace\lambda + w\mu\rbrace_{w \in W})$. I ask about a similar restriction in this branching problem. | |
| Aug 16, 2010 at 23:23 | history | edited | Jim Humphreys | CC BY-SA 2.5 |
added 18 characters in body
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| Aug 16, 2010 at 22:07 | history | answered | Jim Humphreys | CC BY-SA 2.5 |