Kirillov-Reshetikhin Crystals
Kirillov-Reshetikhin Crystals
Crystal graphs constitute an important combinatorial tool to analyze representations of Lie algebras. They are colored, oriented graphs where each vertex corresponds to an element in the crystal basis and the edges of the crystal graph represent the action of the Kashiwara operators.
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Displayed is the tensor product of Kirillov–Reshetikhin crystals for the affine quantum algebra each consisting of a single column, where the length of the columns is given in terms of the parts of . Adjust the parameters "" (rank +1) and "" (length of partition) to obtain different graphs. By unchecking the box "affine", the decomposition into crystals is shown, which are simply the connected components after deleting all edges of color .
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