Timeline for Physical interpretation of reducible but indecomposable reps of the Poincaré group?
Current License: CC BY-SA 4.0
16 events
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| S May 23 at 13:26 | history | bounty ended | WillG | ||
| S May 23 at 13:26 | history | notice removed | WillG | ||
| May 23 at 13:26 | vote | accept | WillG | ||
| May 21 at 15:59 | answer | added | Arnold Neumaier | timeline score: 2 | |
| May 20 at 21:17 | answer | added | 11zaq | timeline score: 6 | |
| S May 20 at 19:47 | history | bounty started | WillG | ||
| S May 20 at 19:47 | history | notice added | WillG | Draw attention | |
| May 18 at 18:55 | history | edited | WillG | CC BY-SA 4.0 |
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| May 18 at 17:39 | comment | added | WillG | @11zaq Nice reference. Actually, I didn't realize until looking at that ref (and other refs cited within that ref) that even the complexified Lorentz algebra $\text{so}(3, 1)_{\mathbb C}$ has reps that are reducible but indecomposable. I forgot that semisimplicity only forbids the existence of finite dimensional reps of this type. | |
| May 18 at 16:27 | comment | added | 11zaq | I found a paper by Lenczewski and Gruber which claims "The interpretation of the finite dimensional indecomposable representations of iso(3,1) then follows easily as a coupling of a finite number of irreducible so(3,1) representations to an indecomposable iso(3,1) representation, with the dimension of the irreducible representations strictly increasing or strictly decreasing.". Not totally sure what that means yet, but I wanted to send it your way because it seems relevant. | |
| May 18 at 15:16 | history | edited | WillG | CC BY-SA 4.0 |
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| May 17 at 16:04 | history | edited | WillG | CC BY-SA 4.0 |
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| May 17 at 15:59 | comment | added | WillG | @TobiasFünke That's a good point. But my question might be relevant to theorists considering possible extensions to standard physics, or exploring possible systems that have not yet been created experimentally, but could be. | |
| May 17 at 15:54 | comment | added | Tobias Fünke | Regarding your second bullet point: We use the math which correctly models our experimental findings, so I don't see a problem here. | |
| May 17 at 15:42 | history | edited | WillG | CC BY-SA 4.0 |
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| May 17 at 15:37 | history | asked | WillG | CC BY-SA 4.0 |