Cylindric multipartitions and level-rank duality
classification
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keywords
cylindricmultipartitionsaffinealgebraiccompletescorrespondingcrystalcylindricity
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We show that a multipartition is cylindric if and only if its level rank-dual is a source in the corresponding affine type $A$ crystal. This provides an algebraic interpretation of cylindricity, and completes a similar result for FLOTW multipartitions.
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