Correspondence between Young walls and Young tableaux and its application

DOI10.1016/j.jalgebra.2004.09.001zbMath1103.17005OpenAlexW1992259250MaRDI QIDQ1770522

Dong-Uy Shin, Jeong-Ah Kim

Publication date: 7 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.09.001

zbMATH Keywords

quantum groupsYoung tableauxcrystal basesYoung walls

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (5)

Crystal \(B(\lambda)\) as a subset of crystal \(B(\infty)\) expressed as tableaux for \(A_n\) type ⋮ Compression of Nakajima monomials in type A and C ⋮ Generalized Young walls for classical Lie algebras ⋮ Nakajima monomials, Young walls and Kashiwara embedding for \(U_q(A_n^{(1)})\) ⋮ Crystal Bases and Monomials forU_q(G₂)-Modules

Cites Work

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• Schensted-type correspondences and plactic monoids for types \(B_n\) and \(D_n\)
• Crystal graphs and Young tableaux
• Paths and root operators in representation theory
• Crystal base and a generalization of the Littlewood-Richardson rule for the classical Lie algebras
• Crystalizing the q-analogue of universal enveloping algebras
• Insertion Scheme for the Classical Lie Algebras
• CRYSTAL BASES FOR QUANTUM AFFINE ALGEBRAS AND COMBINATORICS OF YOUNG WALLS
• Young wall realization of crystal bases for classical Lie algebras
• A generalization of the Littlewood-Richardson rule

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