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Positivity of stretched Littlewood-Richardson coefficients for partitions of length at most five

Ferudun, Alper
arXiv (All) · Papers
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05e0505e1052b20combinatoricsrepresentation-theory
For partitions lambda, mu, nu the Littlewood-Richardson coefficient stretches to a function P(t) = c(t*nu; t*lambda, t*mu) which, by a theorem of Derksen and Weyman, is a polynomial in t. King, Tollu and Toumazet conjectured that P has no negative coefficient. The conjecture is known only for c <= 2
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