Timeline for Automorphisms of ideals of $\mathbb{C}[t]$
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Feb 11, 2016 at 15:04 | vote | accept | Thiago | ||
| Jan 29, 2015 at 21:17 | comment | added | ACL | In case 3), I believe that $t\mapsto 2-t$ induces an automorphism of $I_f$. | |
| Jan 29, 2015 at 17:08 | comment | added | Johannes Hahn | No, I really mean $\alpha(f)^{-1} = \frac{1}{\alpha(f)}$. | |
| Jan 29, 2015 at 17:06 | answer | added | Eric Wofsey | timeline score: 11 | |
| Jan 29, 2015 at 16:56 | comment | added | Thiago | 0. For us an algebra does not need to be unitary. 1. It is just for that particular example. In the general case, they are generated by $\{t^if | 0\leq i< \deg(f)\}$, as you mentioned. 2. You mean $\alpha^{-1}(f)$? I did not understand. | |
| Jan 29, 2015 at 16:50 | history | edited | Daniel Loughran |
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| Jan 29, 2015 at 16:45 | comment | added | Johannes Hahn | 0. An "algebra" has an unit in my book, but whatever... 1. Are you sure that $f$ and $tf$ generate $I_f$ ? Isn't $\{t^i f \mid 0\leq i<deg(f)\}$ a minimal generating system (consider$f$-adic expansions)? Or was this just for that particular example? 2. It seems to me that $Aut(I_f)$ embeds into $Aut(\mathbb{C}[t])$ via $\alpha \mapsto (t \mapsto \alpha(f)^{-1}\alpha(tf))$. This could be useful. | |
| Jan 29, 2015 at 16:15 | history | edited | Thiago |
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| Jan 29, 2015 at 16:07 | history | asked | Thiago | CC BY-SA 3.0 |