Séminaire Lotharingien de Combinatoire, 93B.142 (2025), 12 pp.
Thomas Aird and Duarte Ribeiro
Plactic-Like Monoids Arising from Meets and Joins of Taiga Congruences
Abstract.
We study algebraic and combinatorial properties of plactic-like monoids arising from the meets and joins of taiga congruences. We construct combinatorial objects associated with the meet-taiga monoid, establish a Robinson-Schensted-like correspondence and give extraction and iterative insertion algorithms for said objects. Finally, we obtain `hook-length'-like formulas for the various taiga monoids.
Received: November 15, 2024.
Accepted: February 15, 2025.
Final version: April 1, 2025.
The following versions are available: