Adjoint crystals and Young walls for \(U_q(\widehat{sl}_2)\)

DOI10.1016/j.ejc.2009.10.004zbMath1202.17005OpenAlexW1582730934MaRDI QIDQ966130

Jeong-Youn Yu, Myungho Kim, Sungsoon Kim, Seok-Jin Kang, Ji Hye Jung

Publication date: 27 April 2010

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2009.10.004

zbMATH Keywords

perfect crystalquantum affine algebraaffine crystalclassical crystal

Mathematics Subject Classification ID

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

Related Items (2)

Young wall model for A₂⁽²⁾-type adjoint crystals ⋮ Young tableaux and crystal \(\mathcal B(\infty )\) for the exceptional Lie algebra types

Cites Work

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• Crystal bases for quantum affine algebras and Young walls
• Combinatorics of representations of \(U_ q (\widehat{\mathfrak sl}(n))\) at \(q=0\)
• Perfect crystals of quantum affine Lie algebras
• A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras
• Paths and root operators in representation theory
• Perfect crystals and \(q\)-deformed Fock spaces
• Finite-dimensional crystals \(B^{2,s}\) for quantum affine algebras of type \(D^{(1)}_{n}\)
• Perfectness of Kirillov-Reshetikhin crystals for nonexceptional types
• Level 1 perfect crystals and path realizations of basic representations at q = 0
• AFFINE CRYSTALS AND VERTEX MODELS
• CRYSTAL BASES FOR QUANTUM AFFINE ALGEBRAS AND COMBINATORICS OF YOUNG WALLS

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