Crystals For Dummies

نویسنده

  • Mark Shimozono
چکیده

We explain how beautiful combinatorial constructions involving the Robinson-Schensted-Knuth correspondence, evacuation of tableaux, and the Kostka-Foulkes polynomials, arise naturally from the structure of (affine) crystal graphs. The appearance of Kostka-Foulkes polynomials was observed by Nakayashiki and Yamada. Almost all of the constructions presented herein, have analogues for every simple and affine Lie algebra.

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تاریخ انتشار 2005