Timeline for Restriction of smooth representaions of SL(2,Q_p) to the maximal compact
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Jan 26, 2019 at 16:59 | comment | added | Marty | No need to assume unitarity. Smooth reps of $SL_2(Z_p)$ are finite-dimensional and factor through $SL_2(Z / p^k Z)$ for some $k$. Branching from $G$ to $K$, these $k$'s are unbounded. For Shalika's thesis... I'd consult Nevins' papers for the reference. | |
| Jan 26, 2019 at 12:38 | comment | added | Florin Radulescu | This is great stuff.For a better intuition, I wish I could see how exactly this goes in a more simple case, like spherical series. Could that be that in this case (if necessary assume unitarity) only reprsentations from finite quotients of PSL(2,Z) by modular subgroups? Is there a way to obtain Shalika's thesis? | |
| Jan 26, 2019 at 7:46 | vote | accept | Florin Radulescu | ||
| Jan 26, 2019 at 6:10 | history | answered | Marty | CC BY-SA 4.0 |