Littelmann's path crystal and combinatorics of certain integrable \(\widehat{\mathfrak{sl}_{\ell+1}}\) modules of level zero.

DOI10.1016/S0021-8693(03)00304-1zbMath1063.17017arXivmath/0206263OpenAlexW3105008647MaRDI QIDQ1414047

Jacob Greenstein

Publication date: 19 November 2003

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

Full work available at URL: https://arxiv.org/abs/math/0206263

zbMATH Keywords

integrable modulesloop modulesformal characterlevel zeropath crystal

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (3)

Weyl modules, Demazure modules and finite crystals for non-simply laced type ⋮ Filtrations and completions of certain positive level modules of affine algebras ⋮ Path model for a level-zero extremal weight module over a quantum affine algebra. II

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