Timeline for Gelfand-Tsetlin bases for Lie groups over finite fields
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 21, 2010 at 17:55 | vote | accept | Roman Fedorov | ||
| Nov 25, 2010 at 16:14 | answer | added | Jim Humphreys | timeline score: 3 | |
| Nov 10, 2010 at 23:30 | answer | added | Matt Davis | timeline score: 1 | |
| Nov 9, 2010 at 20:24 | comment | added | Leonid Petrov | Maybe you should have a look at arXiv:0705.3605v1 [math.RT] (by Vershik and Kerov). This applies some approaches that worked successfully for the infinite symmetric group to the case of limits of finite linear groups. The constuction in the case of symmetric groups has much to do with GTs bases, as I remember. | |
| Nov 9, 2010 at 15:16 | comment | added | Jim Humphreys | I don't have a precise answer, but keep in mind the Schur-Weyl duality between representations of general linear and symmetric groups. Whatever is done for the latter is likely to apply to the former, even over finite fields. In another direction, Dan Rockmore and colleagues have done quite a bit of practical work on fast Fourier transforms for finite linear groups, some with connections to Gelfand-Tsetlin basis methods. | |
| Nov 9, 2010 at 14:28 | history | asked | Roman Fedorov | CC BY-SA 2.5 |