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Kleshchev multipartitions and extended Young diagrams. (arXiv:1706.07595v1 [math.RT])

来源于:arXiv
We give a new simple characterization of the set of Kleshchev multipartitions. These combinatorial objects both label the crystal bases for irreducible highest weight modules in affine type $A$ and the simple modules for Ariki-Koike algebras. As a consequence, we obtain a proof of a generalization of a conjecture by Dipper, James and Murphy. 查看全文>>