Polyhedral realizations of crystal bases B(λ) for quantum algebras of nonexceptional affine types

DOI10.1063/1.5043554zbMath1428.82063OpenAlexW2974338943MaRDI QIDQ5235509

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Publication date: 11 October 2019

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

Full work available at URL: https://doi.org/10.1063/1.5043554

zbMATH Keywords

quantum algebracrystal bases

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Statistical mechanics of crystals (82D25)

Related Items

Polyhedral realizations for crystal bases of integrable highest weight modules and combinatorial objects of type \(\mathrm{A}^{(1)}_{n-1}, \mathrm{C}^{(1)}_{n-1}, \mathrm{A}^{(2)}_{2n-2}, \mathrm{D}^{(2)}_n\), Descriptions of crystal \(\mathsf{B}(\lambda)\) for \(E_6\) and \(E_7\) types via tableaux and Kashiwara embedding

Cites Work

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• Macdonald polynomials, Laumon spaces and perverse coherent sheaves
• Polyhedral realizations of crystal bases for quantum algebras of finite types
• Polyhedral realizations of crystal bases for quantum algebras of classical affine types