Keys and Demazure crystals for Kac-Moody algebras

DOI10.4171/JCA/46zbMath1475.05169arXiv1909.09520MaRDI QIDQ2233678

Nicolas Jacon, Cédric Lecouvey

Publication date: 11 October 2021

Published in: Journal of Combinatorial Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.09520

zbMATH Keywords

Kac-Moody algebrasDemazure crystalscore partitions

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (4)

Quasi-solvable lattice models for and Demazure atoms and characters ⋮ Duality and bicrystals on infinite binary matrices ⋮ Symplectic right keys -- type C Willis' direct way ⋮ Symplectic keys and Demazure atoms in type \(C\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Semistandard tableaux for Demazure characters (key polynomials) and their atoms
• Representations of Hecke algebras at roots of unity.
• On the combinatorics of crystal graphs. I: Lusztig's involution
• A definition of the crystal commutor using Kashiwara's involution
• An explicit construction of type A Demazure atoms
• Some characterizations of Bruhat ordering on a Coxeter group and determination of the relation Möbius function
• A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras
• The crystal base and Littelmann's refined Demazure character formula
• Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras
• Schensted-type correspondences and plactic monoids for types \(B_n\) and \(D_n\)
• Simultaneous core multipartitions
• Crystal graphs and Young tableaux
• Kleshchev multipartitions and extended Young diagrams
• Symplectic keys and Demazure atoms in type C
• Colored five-vertex models and Demazure atoms
• A generalization of the alcove model and its applications
• \(k\)-Schur functions and affine Schubert calculus
• Core blocks of Ariki-Koike algebras.
• Crystal graphs of irreducible \(\mathcal{U}_v (\widehat{\mathfrak{sl}}_e)\)-modules of level two and Uglov bipartitions
• On the tensor product of two basic representations of \(U_v(\hat s l_e)\)
• Crystals and coboundary categories
• Cores of Ariki-Koike algebras
• Crystal Bases
• Combinatorics of Coxeter Groups
• Canonical Bases Arising from Quantized Enveloping Algebras
• Crystal isomorphisms for irreducible highest weight \(\mathcal{U}_{v}(\widehat{\mathfrak{sl}}_{e})\)-modules of higher level

This page was built for publication: Keys and Demazure crystals for Kac-Moody algebras