Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896150 | Journal of Algebra | 2018 | 43 Pages |
Abstract
We provide an explicit combinatorial description of the embedding of the crystal of Kashiwara-Nakashima tableaux in types B and C into that of i-Lusztig data associated to a family of reduced expressions i of the longest element w0. The description of the embedding is simple and elementary using only the Schützenberger's jeu de taquin and RSK algorithm. A spinor model for classical crystals plays an important role as an intermediate object connecting Kashiwara-Nakashima tableaux and Lusztig data.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jae-Hoon Kwon,