Timeline for canonical basis via Gelfand-Tsetlin basis
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 26, 2012 at 17:03 | comment | added | Alexander Chervov | I would suggest to ask Anton Gerasimov - they worked a lot on GT, moreover I had very vague memories that at some seminar he discussed exactly this question - but I am completely not sure... Side remarks: GT - is eigenbasis for GT commutative subalgebra (=integrable system). There is result by Vinberg that GT is limit of "top"=Gaudin=Hitchin=argument shift=Mishenko-Fomenko... There is GLn-GLm duality between GT and Jucys-Murphy (mathoverflow.net/questions/83150/).I have not heard any relation with canonical basis of any of these object. Except some paper by I. Frenkel on Macdonald<->CB | |
| Jan 24, 2012 at 18:13 | comment | added | Alexander Braverman | I don't know - but I would appreciate any information | |
| Jan 24, 2012 at 17:39 | comment | added | Alexander Chervov | should it exist ? What about classical limit q=1: is Verma basis for sl(3) related to GT (if Yes - it should be known I think). As far as I understand in sl(3) "Verma basis" is limit of canonical bases (not 100%sure) | |
| Jan 24, 2012 at 16:33 | history | asked | Alexander Braverman | CC BY-SA 3.0 |