Finite convergent presentations of plactic monoids for semisimple lie algebras
Representation Theory
2015-12-25 v1
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.
Keywords
Cite
@article{arxiv.1512.07813,
title = {Finite convergent presentations of plactic monoids for semisimple lie algebras},
author = {Nohra Hage},
journal= {arXiv preprint arXiv:1512.07813},
year = {2015}
}