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Path model for quantum loop modules of fundamental type

Jacob Greenstein·Polyxeni Lamprou
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Abstract

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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Jacob Greenstein, Polyxeni Lamprou. 2003-07-03. Path model for quantum loop modules of fundamental type. https://arxiv.org/abs/math/0307049

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