JP Journal of Algebra, Number Theory and Applications
Volume 33, Issue 1, Pages 35 - 64
(May 2014)
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LR-FILLINGS AND PARTIAL ORDERING OF LR-TABLEAUX
Takashi Maeda
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Abstract: For a nilpotent linear transformation of Jordan type l, let be the subvariety of a Grassmannian whose generic point is the subspace spanned by the generic vectors for all cells of a skew tableau Tin l. A relation on the set of such tableaux of the same size is defined by the inclusions of these subvarieties in the Grassmannian; if We prove two theorems about this relation, and give a simple algorithm to construct the Littlewood-Richardson (LR) tableau dual to an LR-tableau. |
Keywords and phrases: Jordan types, Grassmannian, Littlewood-Richardson tableaux. |
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