Higher level affine crystals and Young walls

DOI10.1007/s10468-006-9013-6zbMath1114.17005arXivmath/0310430OpenAlexW2070539089MaRDI QIDQ854979

Seok-Jin Kang, Hyeonmi Lee

Publication date: 20 December 2006

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0310430

zbMATH Keywords

quantum affine algebrasYoung wallsaffine crystals

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items (6)

Crystals of type $D_n^{(1)}$ and Young walls ⋮ Quiver Varieties and Adjoint Crystals of Level ℓ for TypeA_n⁽¹⁾ ⋮ Nakajima monomials, Young walls and Kashiwara embedding for \(U_q(A_n^{(1)})\) ⋮ Quiver varieties and Demazure modules ⋮ Monomial realization of crystal graphs for \(U_q(A_n^{(1)})\) ⋮ Crystal bases for quantum affine algebras and Young walls

Cites Work

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• Combinatorics of representations of \(U_ q (\widehat{\mathfrak sl}(n))\) at \(q=0\)
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• Perfect crystals of quantum affine Lie algebras
• Crystals for Demazure modules of classical affine Lie algebras
• Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras
• Young wall realization of crystal graphs for \(U_q(C_n^{(1)})\)
• Crystal base for the basic representation of \(U_ q({\mathfrak sl}^\wedge (n))\)
• Canonical Bases Arising from Quantized Enveloping Algebras
• AFFINE CRYSTALS AND VERTEX MODELS
• CRYSTAL BASES FOR QUANTUM AFFINE ALGEBRAS AND COMBINATORICS OF YOUNG WALLS

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