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arXiv · 1412.0539

Finite convergent presentation of plactic monoid for type C

Nohra Hage
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Abstract

We give an explicit presentation for the plactic monoid for type C using admissible column generators. Thanks to the combinatorial properties of symplectic tableaux, we prove that this presentation is finite and convergent. We obtain as a corollary that plactic monoids for type C satisfy homological finiteness properties.

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Nohra Hage. 2016-02-01. Finite convergent presentation of plactic monoid for type C. https://doi.org/10.1142/s0218196715500393

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