Finite convergent presentation of plactic monoid for type C
Representation Theory
2016-02-02 v3
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.
Keywords
Cite
@article{arxiv.1412.0539,
title = {Finite convergent presentation of plactic monoid for type C},
author = {Nohra Hage},
journal= {arXiv preprint arXiv:1412.0539},
year = {2016}
}