Timeline for A question related to supercuspidal representations of $\operatorname{GL}_2$ over local fields
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Sep 27, 2023 at 19:24 | vote | accept | user15243 | ||
| Feb 16, 2020 at 19:37 | answer | added | LSpice | timeline score: 4 | |
| Feb 16, 2020 at 14:52 | comment | added | user15243 | Let $E/F$ be a quadratic extension of non-Archimedean locan fields and let $\zeta$ be a quasicharacter of $E^*$ that does not factor through the norm map $N: E^* \to F^*$. Using this yoy will be able to construct irrducible admissible representation of $GL(2,F) $_+ and induce that to $GL(2,F)$. The induced representation is irreducible and supercuspidal which is called digedral supercuspidal representation. For more details, you can look page no 541 from Bump's automorphic form and representation book. | |
| Feb 16, 2020 at 2:55 | history | edited | LSpice |
TeX fix; deleted "Thank you"; deleted {modular-representation-theory} tag
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| Feb 16, 2020 at 2:55 | answer | added | Peng | timeline score: 6 | |
| Feb 16, 2020 at 2:55 | history | edited | LSpice | CC BY-SA 4.0 |
TeX fix; deleted "Thank you"
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| Feb 16, 2020 at 2:14 | comment | added | LSpice | What is a dihedral supercuspidal representation? Where are you learning about supercuspidals of $\operatorname{GL}_2$? (The second question just to know what might be useful further references.) | |
| Feb 16, 2020 at 0:28 | history | asked | user15243 | CC BY-SA 4.0 |