Abstract
This note is devoted to the combinatorics of tableaux for the root systems $B_n$, $C_n$, $D_n$ and $G_2$ defined from Kashiwara's crystal graph theory. We review the definition of tableaux for types $B_n$, $C_n$, $D_n$ and $G_2$ and describe the corresponding bumping and sliding algorithms. We also derive in each case a Robinson-Schensted type correspondence.
Information
Published: 1 January 2007
First available in Project Euclid: 24 November 2014
zbMATH: 1131.05095
MathSciNet: MR2269126
Digital Object Identifier: 10.2969/msjmemoirs/01701C020
Rights: Copyright © 2007, The Mathematical Society of Japan