A simple proof of associativity and commutativity of LR-coefficients (or the hive ring)
classification
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keywords
associativitycommutativityhiveproofringsimpleadjointbijective
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We give a simple bijective proof of associativity and commutativity of the Littlewood-Richardson coefficients or the hive ring. Specifically, we establish existence a polarized polymatroidal discretely concave functions on the tetrahedron with given boundary values at two adjoint faces.
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