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arXiv · 1907.05824

The Algebra of Schur Operators

Ricky Ini Liu·Christian Smith
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Abstract

We study a representation of the (local) plactic monoid given by Schur operators $u_i$, which act on partitions by adding a box in column $i$ (if possible). In particular, we give a complete list of the relations that hold in the algebra of Schur operators.

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Ricky Ini Liu, Christian Smith. 2019-07-12. The Algebra of Schur Operators. https://arxiv.org/abs/1907.05824

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