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Jan 13, 2022 at 2:43 history edited Martin Sleziak CC BY-SA 4.0
replaced the link to the arXiv front end; see https://meta.mathoverflow.net/questions/5124/is-it-time-to-replace-links-to-the-ucdavis-arxiv-frontend
Dec 13, 2012 at 1:19 comment added Allen Knutson You mean, again, LR-coefficients, right? The point is that the Steinberg/Klimyk tensor product rule expresses the LR coefficients as an alternating sum (over the Weyl group) of weight multiplicities (here, Kostka numbers).
Dec 12, 2012 at 20:14 comment added Per Alexandersson Yes, I am aware that the function is polynomial in n. The question is if it is easy to see if polynomiality for the Kostka map easily implies polynomiality for LW-coefficients. (The reverse implication should be quite easy, I think). The reason I ask for this, is that I think I have a very short proof of the polynomiality of the map $n \to K_{n\lambda,nw}^{n\mu}$ and it would be interesting to see if this easily implies polynomiality for LW-coefficients.
Dec 12, 2012 at 13:59 history answered Allen Knutson CC BY-SA 3.0