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arXiv · 1809.09519

Cylindric multipartitions and level-rank duality

Thomas Gerber
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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. 2018-09-25. Cylindric multipartitions and level-rank duality. https://arxiv.org/abs/1809.09519

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