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• W2104996963 abstract "In this paper, we observe that a certain local property on highest weight crystal graphs forces a more global property. In type A , this statement says that if a node has a single parent and single grandparent, then there is a unique walk from the highest weight node to it. This crystal observation was motivated by certain representation-theoretic behavior of the affine Hecke algebra of type A . In other classical types, there is a similar statement. This walk is obtained from the associated level 1 perfect crystal, B 1 , 1 . (It is unique unless the Dynkin diagram contains that of D 4 as a subdiagram.)" @default.
• W2104996963 created "2016-06-24" @default.
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• W2104996963 date "2007-09-01" @default.
• W2104996963 modified "2023-09-29" @default.
• W2104996963 title "An observation on highest weight crystals" @default.
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• W2104996963 doi "https://doi.org/10.1016/j.jalgebra.2007.05.021" @default.
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