Young wall model for A2(2)-type adjoint crystals

DOI10.1080/00927872.2017.1404088zbMath1450.17005arXiv1709.10232OpenAlexW2963137153MaRDI QIDQ4576661

Seok-Jin Kang

Publication date: 10 July 2018

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

Full work available at URL: https://arxiv.org/abs/1709.10232

zbMATH Keywords

perfect crystalquantum affine algebraYoung walladjoint 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) Quantum groups (quantized function algebras) and their representations (20G42)

Cites Work

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• Crystal bases for quantum affine algebras and Young walls
• Adjoint crystals and Young walls for \(U_q(\widehat{sl}_2)\)
• Perfect crystals of quantum affine Lie algebras
• 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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