Cylindric multipartitions and level-rank duality

Published 25 Sep 2018 in math.RT and math.CO | (1809.09519v1)

Abstract: 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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Thomas Gerber

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