Timeline for How to compute the index of a given weight?
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Jan 5, 2018 at 1:15 | comment | added | Jim Humphreys | Note that the question doesn't actually involve Lie groups (or algebraic groups), just the roots and weights. Though the finite dimensional representation theory here is well understood in principle, it can be tricky to work out stabilizers of weights, etc. But as LSpice points out, it's essential first to specify which numbering system for simple roots or associated fundamental weights is being used. In your example for type $B_n$, which is the short simple root? | |
| Jan 4, 2018 at 10:19 | review | Close votes | |||
| Jan 4, 2018 at 18:36 | |||||
| Jan 4, 2018 at 10:11 | answer | added | Vít Tuček | timeline score: 2 | |
| Jan 3, 2018 at 14:55 | history | edited | LSpice | CC BY-SA 3.0 |
Changed formatting
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| Jan 3, 2018 at 14:52 | comment | added | LSpice | What is $B_n$? (Are you naming the group by the type of its Dynkin diagram? Fortunately, here, fundamental-group issues don't matter, but in general this doesn't specify the group uniquely.) What are the various $\lambda_i$'s—I mean not just that they are fundamental weights, but specifically which ones in which order? (For example, are you using Bourbaki's or some other numbering?) | |
| Jan 3, 2018 at 1:12 | history | edited | Pène Papin | CC BY-SA 3.0 |
Reedit
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| Jan 2, 2018 at 20:25 | comment | added | Jim Humphreys | Please explain your notation! Also, $w$ most often denotes an element of the Weyl group, so you should use a symbol like $\lambda$ or $\varpi$ to denote a weight. (It's also useful to highlight your question by preceding it with > and a space.) | |
| Jan 2, 2018 at 18:12 | review | First posts | |||
| Jan 2, 2018 at 18:23 | |||||
| Jan 2, 2018 at 18:04 | history | asked | Pène Papin | CC BY-SA 3.0 |