Timeline for Non-diagonalizable complex symmetric matrix
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 23, 2021 at 19:36 | comment | added | ComptonScattering | @rannoudanames the question requires a matrix with two equal eigenvalues, David chose to set them both to zero. | |
| May 11, 2019 at 14:39 | comment | added | rannoudanames | @DavidESpeyer Why do we look for trace and determinant to be 0? | |
| Jun 14, 2018 at 22:24 | comment | added | wonderich | How about this quiz - generalizing autonne takagi factorization: mathoverflow.net/q/302741/27004 | |
| Dec 16, 2010 at 18:11 | comment | added | Anirbit | @David. Sorry for the first question. It was stupid of me. So any comments about the representation theory aspect of complex symmetric matrices as in comparison to real case which I was mentioning? | |
| Dec 16, 2010 at 13:12 | comment | added | David E Speyer | In the sense that it is equal to its transpose. There are two off diagonal entries, and they are equal. | |
| Dec 16, 2010 at 10:16 | comment | added | Anirbit | @David In what sense is the above matrix symmetric? (Definitely not in the sense of it being being equal to its transpose). Further one knows that $3\times 3$ symmetric traceless real matrices support an irreducible representation of $SO(3)$. Is there any analogous statement known for complex symmetric matrices or for the double cover $SU(2)$ or $SL(2,\mathbb{C})$ ? | |
| May 5, 2010 at 21:47 | vote | accept | Qfwfq | ||
| May 5, 2010 at 21:14 | history | answered | David E Speyer | CC BY-SA 2.5 |