Dual Kashiwara functions for the \(B(\infty)\) crystal in the bipartite case

DOI10.1007/978-3-030-63849-8_9OpenAlexW4239071914MaRDI QIDQ2090732

Yanyan Li

Publication date: 31 October 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-63849-8_9

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Ring-theoretic aspects of quantum groups (16T20) Cluster algebras (13F60)

Cites Work

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• A preparation theorem for the Kashiwara \(B(\infty)\) crystal
• Trails for minuscule modules and dual Kashiwara functions for the \(B(\infty)\) crystal
• Global crystal bases of quantum groups
• The crystal base and Littelmann's refined Demazure character formula
• Polyhedral realizations of crystal bases for quantized Kac-Moody algebras
• A decomposition theorem for Demazure crystals.
• Tensor product multiplicities, canonical and totally positive varieties
• A new interpretation of the Catalan numbers arising in the theory of crystals
• Convexity properties of the canonical \(S\)-graphs
• Dual Kashiwara functions for the \(B(\infty)\) crystal
• Consequences of the Littelmann Path Theory for the Structure of the Kashiwara B(∞) Crystal
• Powers of Coxeter elements in infinite groups are reduced
• Polytopes for Crystallized Demazure Modules and Extremal Vectors

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