Timeline for labeling state vectors in representation space of a simple lie algebra
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 9, 2018 at 22:02 | comment | added | Y M | $D_3=A_3$ by convention | |
| Jun 28, 2017 at 21:59 | comment | added | LSpice | $SO(4, 2)$ is of type $D_3$, not $A_3$. | |
| Feb 23, 2014 at 18:52 | comment | added | Y M | I found a reference...thanks to all who responded for their useful comments and valuable insights | |
| Feb 23, 2014 at 18:51 | answer | added | Y M | timeline score: 1 | |
| Feb 20, 2014 at 20:01 | comment | added | Y M | I was following the authors terminology; which I agree is not precise. I'm overlooking this imprecision with the assumption that there's something useful here to learn. I added some additional background from the paper above; hopefully that's of value. | |
| Feb 20, 2014 at 19:59 | history | edited | Y M | CC BY-SA 3.0 |
added 6 characters in body
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| Feb 20, 2014 at 19:50 | history | edited | Y M | CC BY-SA 3.0 |
added 6 characters in body
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| Feb 20, 2014 at 14:01 | comment | added | Jim Humphreys | Though I think I understand what "repreentation space" means here, Ben's comments point to a standard problem of interpreting in mathematical language what goes on in mathematical physics. Most of the work here is probably involved in translating the problem carefully into mathematics, where much is known about finite dimensional representations. (However, the real Lie groups add an extra layer of complication.) | |
| Feb 20, 2014 at 9:24 | comment | added | Ben Webster♦ | This question is really unclear. What do you mean by representation space (a space of representations, or a space which is a representation)? I'm also not sure what "the number of operators such their eigenvalues sufficiently label all state vectors" is supposed to mean. If you have a collection of operators whose joint spectrum on a finite dimensional space is simple (my best guess for what "sufficiently label all state vectors" means), then any generic linear combination of them also has simple spectrum. | |
| Feb 20, 2014 at 6:10 | review | First posts | |||
| Feb 20, 2014 at 6:12 | |||||
| Feb 20, 2014 at 5:53 | history | asked | Y M | CC BY-SA 3.0 |