Lusztig Data of Kashiwara-Nakashima Tableaux in Type D (Jul, 10.1007/s10468-020-09975-9, 2020)

被引：0
|
作者：
Jang, Il-Seung [1 ]
Kwon, Jae-Hoon [1 ,2 ]
机构：
[1] Seoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea
[2] Seoul Natl Univ, RIM, Seoul 08826, South Korea
来源：
ALGEBRAS AND REPRESENTATION THEORY | 2021年 / 24卷 / 04期
基金：
新加坡国家研究基金会;
关键词：
Crystal graphs; Kashiwara-Nakashima tableaux; Lusztig data; Parabolic Verma module; Quantum groups;
D O I：
10.1007/s10468-020-10002-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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. © 2020, Springer Nature B.V.
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收藏
页码：991 / 991
页数：1
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