Crystal bases as tuples of integer sequences

DOI10.1155/2013/431024zbMath1307.17015arXiv1309.6299OpenAlexW3098777047WikidataQ58996896 ScholiaQ58996896MaRDI QIDQ361580

Deniz Kus

Publication date: 29 August 2013

Published in: ISRN Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.6299

zbMATH Keywords

crystal basisconnected crystalcrystal graphdominant integral weightsemiregular crystal

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Infinite-dimensional Lie (super)algebras (17B65) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (1)

Kirillov-Reshetikhin crystals, energy function and the combinatorial \(R\)-matrix

Cites Work

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• Realization of affine type \(A\) Kirillov-Reshetikhin crystals via polytopes
• Compression of Nakajima monomials in type A and C
• \(B_2\)-crystals: axioms, structure, models
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras
• Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras
• Geometric construction of crystal bases
• Quiver varieties and tensor products
• Crystal bases for quantum classical algebras and Nakajima's monomials
• Monomial realization of crystal graphs for \(U_q(A_n^{(1)})\)
• Monomial realization of crystal bases for special linear Lie algebras
• Demazure modules and Weyl modules: The twisted current case
• A local characterization of simply-laced crystals

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