Timeline for Symmetric sums and Representations of SO(3)
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| May 27, 2013 at 13:20 | comment | added | john mangual | thats what I wanted to know... does this really have anything to do with Orthogonal groups? I guess not. | |
| May 27, 2013 at 13:20 | vote | accept | john mangual | ||
| May 26, 2013 at 18:25 | comment | added | Dietrich Burde | Yes, this clarifies the situation. The more interesting aspect seems to me the "entire identity", for which you have a nice proof. | |
| May 26, 2013 at 18:06 | comment | added | Sean Lawton | The sum holds for any 3x3 matrix is what I said, not the entire identity. The point here is that the identity comes from two identities in SU(2) and they are put together with the Pythagorean theorem. Then the second identity is obfuscated with a general identity in matrix coordinates that holds for any 3x3 matrix. Does that clarify the situation? | |
| May 26, 2013 at 17:33 | comment | added | Dietrich Burde | I cannot quite follow. The result does not hold for all $3\times 3$ matrices. The zero matrix is a counterexample, because then $1=4$. Or did you mean another result ? | |
| May 26, 2013 at 17:06 | history | edited | Sean Lawton | CC BY-SA 3.0 |
added 206 characters in body
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| May 24, 2013 at 6:50 | history | answered | Sean Lawton | CC BY-SA 3.0 |