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- W2963311622 abstract "Suppose mu and mu' are two partitions. We will let mu oplus mu' denote the direct of the partitions, defined as the sorted partition made of the parts of $mu$ and $mu'$. In this paper, we define a summation operation on two Littlewood-Richardson fillings of type (mu, nu;lambda) and (mu', nu';lambda'), which results in a Littlewood-Richardson filling of type (muoplus mu', nuoplus nu' ;lambdaoplus lambda'). We give an algorithm to produce the sum, and show that it terminates in a Littlewood-Richardson filling by defining a bijection between a Littlewood-Richardson filling and a flow on a honeycomb, and then showing that the overlay of the two honeycombs of appropriate type corresponds to the sum of the two fillings." @default.
- W2963311622 created "2019-07-30" @default.
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- W2963311622 creator A5051148855 @default.
- W2963311622 date "2015-01-01" @default.
- W2963311622 modified "2023-09-29" @default.
- W2963311622 title "Flows on honeycombs and sums of Littlewood–Richardson tableaux" @default.
- W2963311622 doi "https://doi.org/10.4310/joc.2015.v6.n3.a6" @default.
- W2963311622 hasPublicationYear "2015" @default.
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