Young wall realization of crystal graphs for \(U_q(C_n^{(1)})\)

DOI10.1007/s00220-003-0966-6zbMath1108.17003arXivmath/0207293OpenAlexW1768896115MaRDI QIDQ1424234

Seok-Jin Kang, Hyeonmi Lee, Jin Hong

Publication date: 11 March 2004

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0207293

zbMATH Keywords

quantum groupperfect crystalcrystal basisYoung walls(abstract) crystalground state pathirreducible highest weight crystal

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) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

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Cites Work

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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
• 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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