Timeline for description of an endomorphism algebra
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 25, 2012 at 8:12 | vote | accept | th.ng | ||
| Jun 25, 2012 at 8:11 | comment | added | th.ng | Now that I've read what you mention, the generators/relations presentation of the Yokonuma-Hecke algebra is (almost) precisely what I needed. Though, I'll also have to see how what Jim said could fit in. Thank you again. | |
| Jun 21, 2012 at 7:44 | comment | added | th.ng | Thank you for this reference, I'll read i too, it could be useful too. | |
| Jun 21, 2012 at 1:56 | comment | added | David Ben-Zvi | Oops link didn't convey: math.colorado.edu/~thiemn/preprints.html | |
| Jun 21, 2012 at 1:56 | comment | added | David Ben-Zvi | It's my understanding that the phrase "Yokonuma Hecke algebra" is precisely the case asked about here, the case of the trivial character of U, or functions on G/U (as opposed to the Whittaker case studied by Gelfand-Graev). That's in any case what Thiem writes in that paper and in greater detail in his thesis, available <a href="math.colorado.edu/~thiemn/preprints.html>here</a> | |
| Jun 18, 2012 at 13:30 | comment | added | Jim Humphreys | The work Yokonuma did (influenced by Iwahori), which is referenced by Thiem as well as by Carter, extends somewhat the construction by Gelfand and Graev of a character induced from a regular character of the unipotent subgroup. (See Carter's book, 8.1.) This is at the opposite extreme from the question posed here, where induction starts with the trivial character. I'm doubtful about applying the Iwahori-Hecke approach directly in the latter case. | |
| Jun 18, 2012 at 0:23 | history | answered | David Ben-Zvi | CC BY-SA 3.0 |