Characters of Demazure modules and solvable lattice models

DOI10.1016/S0550-3213(97)00685-8zbMath0953.17007arXivq-alg/9707004OpenAlexW2070080720MaRDI QIDQ1569645

Kailash C. Misra, Atsuo Kuniba, Taichiro Takagi, Jun Uchiyama, Masato Okado

Publication date: 3 July 2000

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9707004

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) Exactly solvable models; Bethe ansatz (82B23)

Related Items (9)

The number of flags in finite vector spaces: asymptotic normality and Mahonian statistics ⋮ Paths, Demazure crystals, and symmetric functions ⋮ Demazure crystals of type \(A_{n}\) and Young walls ⋮ Crystals for Demazure modules of classical affine Lie algebras ⋮ Character formulae of \(\widehat{\text{sl}}_n\)-modules and inhomogeneous paths ⋮ Exclusion statistics in conformal field theory -- generalized fermions and spinons for level-\(1\) WZW theories ⋮ On the connection between Macdonald polynomials and Demazure characters ⋮ Asymptotics of generalized Galois numbers via affine Kac-Moody algebras ⋮ Demazure Formulas for Weight Polytopes

Cites Work

• Branching functions for winding subalgebras and tensor products
• Infinite-dimensional Lie algebras, theta functions and modular forms
• Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
• Demazure character formula in arbitrary Kac-Moody setting
• Kostka polynomials and energy functions in solvable lattice models
• Demazure modules and perfect crystals
• Crystals for Demazure modules of classical affine Lie algebras
• Crystal base and \(q\)-vertex operators
• The crystal base and Littelmann's refined Demazure character formula
• One-dimensional configuration sums in vertex models and affine Lie algebra characters
• Désingularisation des variétés de Schubert généralisées
• AFFINE CRYSTALS AND VERTEX MODELS
• Demazure modules and vertex models: The sl̂(2) case
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