Timeline for Temperley-Lieb algebras for other Weyl groups?
Current License: CC BY-SA 3.0
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| May 29, 2013 at 9:35 | comment | added | F. C. | Indeed. But the work of Genauer and Stoltzfus (arxiv.org/abs/math/0511003) has at least a small amount of cluster flavour. And one can also note that the cluster theory for surfaces now involves skein relations. | |
| May 28, 2013 at 21:02 | comment | added | Jan Grabowski | Catalan numbers appear everywhere! :-) More seriously, I've thought a little in the first direction you propose in the last paragraph but haven't seen a cluster algebra connection so far. The TL relations are not obviously cluster algebra-like, but part of the thing about cluster algebras is that often one needs to look at more elements than in the defining presentation (usually the game is to find small generating sets for one's favourite algebra but this is absolutely not the case for cluster algebras, where one wants "simple" relations and have to live with needing large generating sets). | |
| May 28, 2013 at 18:19 | history | answered | F. C. | CC BY-SA 3.0 |