Timeline for Conjugation between commutative subalgebras of a matrix algebra?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 30, 2011 at 21:19 | comment | added | Denis Serre | @darij. Sorry, I completed the link. | |
| Dec 30, 2011 at 21:18 | history | edited | Denis Serre | CC BY-SA 3.0 |
added 4 characters in body
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| Dec 30, 2011 at 18:10 | comment | added | darij grinberg | Miguel, you could simply add the subspace $k\cdot I_n$ to each of the algebras - they would still be isomorphic but not conjugated. Also see my last comment for a different (diagonalizable) counterexample (which I hope to be correct). | |
| Dec 30, 2011 at 18:05 | comment | added | Miguel | thank you Denis Serre. Your example responds to my question. Your answer made me think of another question: two unital subalgebras (that is, containing the scalar matrices) are conjugated? | |
| Dec 30, 2011 at 17:45 | comment | added | darij grinberg | Dead link is dead. (Also, exorbis.pdf doesn't work either.) | |
| Dec 30, 2011 at 17:06 | history | answered | Denis Serre | CC BY-SA 3.0 |