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arXiv · 1512.07813

Finite convergent presentations of plactic monoids for semisimple lie algebras

Nohra Hage
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Abstract

We study rewriting properties of the column presentation of plactic monoid for any semisimple Lie algebra such as termination and confluence. Littelmann described this presentation using L-S paths generators. Thanks to the shapes of tableaux, we show that this presentation is finite and convergent. We obtain as a corollary that plactic monoids for any semisimple Lie algebra satisfy homological finiteness properties.

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Nohra Hage. 2015-12-24. Finite convergent presentations of plactic monoids for semisimple lie algebras. https://arxiv.org/abs/1512.07813

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