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Lusztig Data of Kashiwara-Nakashima Tableaux in Type D |
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| Authors: | Jang Il-Seung Kwon Jae-Hoon |
| Institution: | 1.Department of Mathematical Sciences, Seoul National University, Seoul, 08826, Korea ;2.Department of Mathematical Sciences and RIM, Seoul National University, Seoul, 08826, Korea ; |
| Abstract: | We describe the embedding from the crystal of Kashiwara-Nakashima tableaux in type D of an arbitrary shape into that of i-Lusztig data associated to a family of reduced expressions i which are compatible with the maximal Levi subalgebra of type A. The embedding is described explicitly in terms of well-known combinatorics of type A including the Schützenberger’s jeu de taquin and an analog of RSK algorithm. |
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