Polyhedral Realizations of Crystal Bases B(λ) for Dn1

DOI10.1080/00927872.2015.1044099zbMath1404.17024OpenAlexW2345276362MaRDI QIDQ2813657

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Publication date: 24 June 2016

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

Full work available at URL: https://doi.org/10.1080/00927872.2015.1044099

zbMATH Keywords

crystal basepolyhedral realization

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (2)

Descriptions of crystal \(\mathsf{B}(\lambda)\) for \(E_6\) and \(E_7\) types via tableaux and Kashiwara embedding ⋮ Polyhedral realizations of crystal bases B(λ) for quantum algebras of nonexceptional affine types

Cites Work

• Polyhedral realizations of crystal bases for integrable highest weight modules
• The crystal base and Littelmann's refined Demazure character formula
• Polyhedral realizations of crystal bases for quantized Kac-Moody algebras

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