Finite convergent presentation of plactic monoid for type C
Résumé
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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Cite 10.1142/S0218196715500393 Autre Hage, N. (2015). Finite convergent presentation of plactic monoid for type C. International Journal of Algebra and Computation, 25(08), 1239–1263. https://doi.org/10.1142/s0218196715500393