Timeline for On $p$-adic Iwahori-spherical Whittaker functions
Current License: CC BY-SA 4.0
9 events
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| Apr 17, 2023 at 14:21 | comment | added | LSpice | I think Demazure characters are just the familiar characters in characteristic $0$, and the only divergence comes in positive characteristic when representations of reductive algebraic groups, while still parameterised by dominant co-weights, don't have the characters you expect. | |
| Apr 17, 2023 at 13:01 | comment | added | Maty Mangoo | Probably not, since my functions should be non-symmetric polynomials. Those $q$-Whittaker-functions may be Whittaker functions with some other invariance property, but I do not know it either. | |
| Apr 17, 2023 at 12:58 | history | edited | Maty Mangoo | CC BY-SA 4.0 |
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| Apr 17, 2023 at 12:46 | history | edited | Maty Mangoo | CC BY-SA 4.0 |
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| Apr 17, 2023 at 12:39 | history | edited | Maty Mangoo | CC BY-SA 4.0 |
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| Apr 16, 2023 at 9:42 | comment | added | ArB | I don't know if it's the same Whittaker function, but the symmetric Macdonald functions $P_{\lambda}(q,t)$ specialized at $t=0$ are sometimes referred to as $q$-Whittaker functions. These have representation theoretic meaning: they are characters of the local Weyl modules for the borel of current algebra. There is also a meaning in terms of $S_n$ representations, they are the Frobenius characteristics of some module for $S_n$. | |
| Apr 15, 2023 at 16:48 | answer | added | David Loeffler | timeline score: 4 | |
| Apr 15, 2023 at 16:32 | comment | added | Windom Earle | If I remember correctly M. Reeder has some work in this direction. A good starting point to search the literature might be the paper eudml.org/doc/90194 | |
| Apr 15, 2023 at 16:07 | history | asked | Maty Mangoo | CC BY-SA 4.0 |