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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14 October 2020
A Correction to this paper has been published: https://doi.org/10.1007/s10468-020-10002-0
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Presented by: Anne Schilling
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This work was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (No. 2019R1A2C1084833).
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Jang, IS., Kwon, JH. Lusztig Data of Kashiwara-Nakashima Tableaux in Type D. Algebr Represent Theor 24, 959–989 (2021). https://doi.org/10.1007/s10468-020-09975-9
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DOI: https://doi.org/10.1007/s10468-020-09975-9