Timeline for Implications of non-negativity of coefficients of arbitrary Kazhdan-Lusztig polynomials?
Current License: CC BY-SA 4.0
12 events
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| Mar 1, 2022 at 3:48 | history | edited | David Roberts♦ | CC BY-SA 4.0 |
fixed arxiv front-end link, filled in lots of other paper details and links
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Sep 20, 2016 at 10:03 | comment | added | Tobias Kildetoft | A slightly later paper by Lusztig also does this, but I have yet to actually read that in enough detail to see if the extended definitions agree (though I would be surprised if they did not). | |
| Sep 20, 2016 at 10:03 | comment | added | Tobias Kildetoft | One thing that follows not from this positivity but rather the positivity of the structure constants of the Hecke algebra in the KL basis is that one can define special representations (in the sense of Lusztig) for arbitrary finite Coxeter groups, since these can be defined for any positively based algebra in a uniform way which coincides with Lusztig's original definition when specializing to Weyl groups (this is explored in a paper by Mazorchuk and myself). | |
| Sep 16, 2016 at 15:26 | answer | added | Jim Humphreys | timeline score: 3 | |
| May 22, 2014 at 14:58 | comment | added | Jim Humphreys | P.S. The Elias-Williamson paper is to appear in Annals of Mathematics, but may of course differ somewhat from the arXiv preprint version. | |
| May 22, 2014 at 8:42 | answer | added | Sunkist | timeline score: 3 | |
| Dec 10, 2012 at 14:25 | comment | added | Jim Humphreys | A further update: I wrote that Soergel's program "seems to have been completed" after hearing about recent work by Ben Elias and Geordie Williamson. Their preprint is now posted at arXiv:1212.0791. But my question doesn't logically depend on what they've done. | |
| Dec 1, 2012 at 14:09 | history | edited | Jim Humphreys | CC BY-SA 3.0 |
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| Nov 18, 2012 at 14:49 | history | edited | Jim Humphreys | CC BY-SA 3.0 |
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| Nov 18, 2012 at 14:29 | history | edited | Jim Humphreys | CC BY-SA 3.0 |
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| Nov 18, 2012 at 0:35 | history | asked | Jim Humphreys | CC BY-SA 3.0 |