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arxiv: math/0307049 · v1 · submitted 2003-07-03 · 🧮 math.QA

Path model for quantum loop modules of fundamental type

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keywords basismodelmodulespathadmitsaffinealgebracertain
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For a certain class of simple integrable modules of level zero over a quantised affine algebra, we establish the existence of a pseudo-crystal basis and show that such a basis admits a combinatorial realisation in the framework of the path model of Littelmann.

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