Timeline for Are automorphisms of matrix algebras necessarily determinant preservers?
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 24 at 14:36 | vote | accept | mechanodroid | ||
| Aug 24 at 14:35 | comment | added | mechanodroid | Thank you very much. If I understood you correctly, basically the simplest example is the algebra $$A = \{\operatorname{diag}(x,x,y) : x,y \in \Bbb{C}\} \subseteq M_3$$ and the automorphism $\operatorname{diag}(x,x,y) \mapsto \operatorname{diag}(y,y,x)$. As @BenjaminSteinberg suggests, do you perhaps know of an example of a central algebra with the same property? | |
| Aug 24 at 12:46 | comment | added | Benjamin Steinberg | It would be more interesting to give an example without nontrivial central idempotents I think. | |
| Aug 24 at 11:06 | history | answered | Theo Johnson-Freyd | CC BY-SA 4.0 |