Timeline for Hives for other root systems? [duplicate]
Current License: CC BY-SA 4.0
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| May 19, 2022 at 15:57 | history | closed |
Timothy Chow Mark Wildon Dag Oskar Madsen LeechLattice Igor Pak |
Duplicate of Is there an analogue of the hive model for Littlewood-Richardson coefficients of types $B$, $C$ and $D$? | |
| May 19, 2022 at 15:57 | history | edited | Igor Pak | CC BY-SA 4.0 |
UPDATE - question to close
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| May 18, 2022 at 19:23 | comment | added | Igor Pak | I agree it's the same question. Thanks, @GjergjiZaimi -- although I googled extensively I didn't see it. Since the old one doesn't have an answer I am not sure if I should click on "Yes, this answers my question". I am ok with closing this question and hopefully we'll see more answer to the old question. | |
| May 16, 2022 at 23:56 | review | Close votes | |||
| May 19, 2022 at 15:57 | |||||
| May 12, 2022 at 20:16 | comment | added | Gjergji Zaimi | This question came up here a while ago: mathoverflow.net/questions/33712/… JiaRui Fei's paper "Tensor Product Multiplicities via Upper Cluster Algebras" mentioned there is a possible candidate to an answer. | |
| May 11, 2022 at 8:00 | comment | added | Per Alexandersson | There are Gelfand-Tsetlin type polytopes for other types, and they have a close connection to BZ-polytopes, and thus hives. Perhaps that's a place to start. | |
| May 11, 2022 at 6:24 | comment | added | Igor Pak | @SamHopkins Right. But I think you are getting it backwards. KT proof established a saturation property of hives polytopes for the root system A. If there was a "hive polytope for the root system C", for example, it would not satisfy that property. However, it might satisfy some weaker properties which would be interesting to investigate. If only we know what that hive polytope was... | |
| May 10, 2022 at 20:45 | comment | added | Sam Hopkins | One of the spectacular applications of hives/honeycombs was the proof of the saturation conjecture, and I recall once hearing that the analog of the saturation conjecture is false in other types. Of course that’s not a definitive reason there couldn’t be hives in other types, but might start to point to something… | |
| May 10, 2022 at 19:13 | history | asked | Igor Pak | CC BY-SA 4.0 |