From plactic monoids to hypoplactic monoids

DOI10.1007/S00233-024-10436-8MaRDI QIDQ6591557

Ricardo P. Guilherme

Publication date: 22 August 2024

Published in: Semigroup Forum (Search for Journal in Brave)

zbMATH Keywords

plactic monoidquasi-crystalhypoplactic monoidequidivisible

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Free semigroups, generators and relations, word problems (20M05)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Finite Gröbner-Shirshov bases for plactic algebras and biautomatic structures for plactic monoids.
• Crystallizing the hypoplactic monoid: from quasi-Kashiwara operators to the Robinson-Schensted-Knuth-type correspondence for quasi-ribbon tableaux
• Noncommutative Schubert polynomials
• Schubert polynomials and the Littlewood-Richardson rule
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• Crystal bases of modified quantized enveloping algebra
• Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras
• Schensted-type correspondence, plactic monoid, and jeu de taquin for type \(C_n\)
• Noncommutative symmetric functions. IV: Quantum linear groups and Hecke algebras at \(q=0\)
• Schensted-type correspondences and plactic monoids for types \(B_n\) and \(D_n\)
• Crystal monoids \& crystal bases: rewriting systems and biautomatic structures for plactic monoids of types \(A_{n}\), \(B_{n}\), \(C_{n}\), \(D_{n}\), and \(G_{2}\)
• On the hypoplactic monoid
• Equidivisible semigroups
• Permutations, matrices, and generalized Young tableaux
• Group characters and algebra.
• Crystalizing the q-analogue of universal enveloping algebras
• Lie Groups
• Crystal Bases
• Longest Increasing and Decreasing Subsequences
• NONCOMMUTATIVE SYMMETRIC FUNCTIONS V: A DEGENERATE VERSION OF U_q(gl_N)
• Identities and bases in the hypoplactic monoid
• Rewriting systems and biautomatic structures for Chinese, hypoplactic, and sylvester monoids

This page was built for publication: From plactic monoids to hypoplactic monoids

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6591557)