Demazure modules and vertex models: The sl̂(2) case

DOI10.1063/1.532402zbMath1056.17501arXivq-alg/9602018OpenAlexW1975708958MaRDI QIDQ4661556

Masato Okado, Kailash C. Misra, Omar Foda

Publication date: 30 March 2005

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

Full work available at URL: https://arxiv.org/abs/q-alg/9602018

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (7)

Demazure Crystals and Extended Young Diagrams ⋮ Expected degree of weights in Demazure modules of \({\widehat{\mathfrak{sl}}_2}\) ⋮ INTERTWINING VERTEX OPERATORS AND CERTAIN REPRESENTATIONS OF $\widehat{\mathfrak{sl}(n)}$ ⋮ Demazure crystals of type \(A_{n}\) and Young walls ⋮ Quiver varieties and Demazure modules ⋮ Crystals for Demazure modules of classical affine Lie algebras ⋮ Characters of Demazure modules and solvable lattice models

Cites Work

• Demazure character formula in arbitrary Kac-Moody setting
• Combinatorics of representations of \(U_ q (\widehat{\mathfrak sl}(n))\) at \(q=0\)
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• Perfect crystals of quantum affine Lie algebras
• A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras
• The crystal base and Littelmann's refined Demazure character formula
• One-dimensional configuration sums in vertex models and affine Lie algebra characters
• Multinomials and polynomial bosonic forms for the branching functions of the \(\widehat{su}(2)_{M}\times \widehat{su}(2)_{N}/\widehat{su}(2)_{M+N}\) conformal coset models
• Crystal base and a generalization of the Littlewood-Richardson rule for the classical Lie algebras
• Crystalizing the q-analogue of universal enveloping algebras
• Crystal base for the basic representation of \(U_ q({\mathfrak sl}^\wedge (n))\)
• CHARACTERS IN CONFORMAL FIELD THEORIES FROM THERMODYNAMIC BETHE ANSATZ
• AFFINE CRYSTALS AND VERTEX MODELS

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