Geodesic
Jeu de Taquin and Diamond Cone for so(2n+1, C)
Journal of Lie theory, Tome 30 (2020) no. 1, pp. 277-303
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The diamond cone is a combinatorial description for a basis of a natural indecomposable n-module, where n is the nilpotent factor of a complex semisimple Lie algebra g. After N. J. Wildberger who introduced this notion, this description was achieved for g = sl(n), the rank 2 semisimple Lie algebras and g = sp(2n).
Classification : 20G05, 05A15, 17B10
Mots-clés : Shape algebra, semistandard Young tableau, quasistandard Young tableau, jeu de taquin 
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     author = {B. Agrebaoui and D. Arnal and A. Ben Hassine},
     title = {Jeu de {Taquin} and {Diamond} {Cone} for so(2n+1, {C)}},
     journal = {Journal of Lie theory},
     pages = {277--303},
     year = {2020},
     volume = {30},
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B. Agrebaoui; D. Arnal; A. Ben Hassine. Jeu de Taquin and Diamond Cone for so(2n+1, C). Journal of Lie theory, Tome 30 (2020) no. 1, pp. 277-303. http://geodesic.mathdoc.fr/item/JLT_2020_30_1_JLT_2020_30_1_a15/