Timeline for When does Lusztig's canonical basis have non-positive structure coefficients?
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
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| Sep 30, 2010 at 17:31 | comment | added | Kevin McGerty | In the related world of Hecke algebras with unequal parameters the "Kazhdan-Lusztig" basis can have structure constants that aren't nonnegative, which happens already for B_2 where you have parameters $q$ and $q^2$. I think this was noticed by Lusztig in the early 80s. (And I'd be stunned if he didn't have a similar example in the case of quantum groups, but I never asked him). | |
| Sep 30, 2010 at 7:57 | vote | accept | Ben Webster♦ | ||
| Sep 30, 2010 at 5:29 | answer | added | Shunsuke Tsuchioka | timeline score: 23 | |
| Sep 29, 2010 at 23:44 | answer | added | David Hill | timeline score: 3 | |
| Sep 29, 2010 at 11:31 | comment | added | Hiraku Nakajima | I do not know any reference in the literature nor who found a counter-example at the first time. But, here in Kyoto, everybody believes there are counter-examples. Don't ask me the detail. | |
| Sep 25, 2010 at 6:25 | history | asked | Ben Webster♦ | CC BY-SA 2.5 |