Geodesic
Affine type A crystal structure on tensor products of rectangles, Demazure characters, and nilpotent varieties
Journal of Algebraic Combinatorics, Tome 15 (2002) no. 2, pp. 151-187.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Answering a question of Kuniba, Misra, Okado, Takagi, and Uchiyama, it is shown that certain higher level Demazure characters of affine type A, coincide with the graded characters of coordinate rings of closures of conjugacy classes of nilpotent matrices.
Keywords: crystal graph, tableau, Kostka polynomial, Littlewood-Richardson coefficient 
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     author = {Shimozono, Mark},
     title = {Affine type {A} crystal structure on tensor products of rectangles, {Demazure} characters, and nilpotent varieties},
     journal = {Journal of Algebraic Combinatorics},
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     url = {http://geodesic.mathdoc.fr/item/JAC_2002__15_2_a1/}
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Shimozono, Mark. Affine type A crystal structure on tensor products of rectangles, Demazure characters, and nilpotent varieties. Journal of Algebraic Combinatorics, Tome 15 (2002) no. 2, pp. 151-187. http://geodesic.mathdoc.fr/item/JAC_2002__15_2_a1/