2015/12/24 by Nohra Hage, Hage, Nohra
Mathematics · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.RT
paper · pdf · doi:10.48550/arxiv.1512.07813
arxiv created 2015/12/24 · openalex publication_date 2015/12/24 · arxiv updated 2015/12/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.