Abstract
There are two well known combinatorial tools in the representation theory ofSL n, the semi-standard Young tableaux and the Gelfand-Tsetlin patterns. Using the path model and the theory of crystals, we generalize the concept of patterns to arbitrary complex semi-simple algebraic groups.
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Littelmann, P. Cones, crystals, and patterns. Transformation Groups 3, 145–179 (1998). https://doi.org/10.1007/BF01236431
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DOI: https://doi.org/10.1007/BF01236431