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International Mathematics Research Notices (2004) 2004:675-711 , doi:10.1155/S1073792804131917
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Copyright © 2004 Hindawi Publishing Corporation. All rights reserved.

Path model for quantum loop modules of fundamental type

Jacob Greenstein and Polyxeni Lamprou

We study z-crystal bases of simple integrable modules of level zero over a quantised affine algebra. We establish their existence for some class of such modules and show that they admit a combinatorial realisation in the framework of the path model of Littelmann.


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