Timeline for Invariant polynomials under a non-standard group action
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Sep 12, 2023 at 11:51 | comment | added | Jan-Willem van Ittersum | Okay, thank you for your comments. So, then, it seems there is no general theory to solve such functional equations. | |
| Sep 8, 2023 at 23:21 | comment | added | Dave Benson | Your action is not by ring automorphisms: for example $S(fg)$ is not the same as $Sf.Sg$. So the invariants probably won't be a subring. | |
| Sep 8, 2023 at 22:37 | comment | added | Abdelmalek Abdesselam | ...Jeremy Gray on differential equations and group theory. Now there is another CIT-modular forms connection which is less direct but could be use to you. See the review arxiv.org/abs/2211.05611 by Clery and van der Geer. | |
| Sep 8, 2023 at 22:33 | comment | added | Abdelmalek Abdesselam | Usually CIT looks at actions of a linear group $G$ by linear change of coordinates. So the $S$ action fits in this point-of-view but the $U+U^2$ feels a bit strange because one adds the evaluations at two different points. Most of CIT is about $G$ being a Lie group like $SL$, but some treats discrete groups, e.g., finite groups. For that literature see Klein's book on the icosahedron (which includes profuse thanks to Paul Gordan for his help with the CIT computations) and the book by... | |
| Sep 8, 2023 at 9:04 | history | edited | YCor |
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| Sep 8, 2023 at 8:57 | history | asked | Jan-Willem van Ittersum | CC BY-SA 4.0 |