Finite convergent presentation of plactic monoid for type C

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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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Publication date Created: 2014-12-01

Publication date Updated: 2016-02-01

Article

DOI: 10.1142/S0218196715500393

ArXiV ID: 1412.0539

SO-VID: e9032d84-9eb1-495b-baf4-ecd472ec1764

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http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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Journal reference International Journal of Algebra and Computation, Vol.25, No.08, pp.1239-1263 (2015)

Categories math.RT

ScienceOpen disciplines: Algebra

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ScienceOpen disciplines: Algebra

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