Skew RSK and coincidence of Littlewood-Richardson commutors (Preprint)

  <Reference List>
Type: Preprint
National /International: International
Title: Skew RSK and coincidence of Littlewood-Richardson commutors
Publication Date: 2017-11-19
Authors: - Olga Azenhas
Abstract: We realise the Benkart-Sottile-Stroomer switching involution on ballot tableau pairs of partition shape as a recursive internal row insertion procedure. The key observation of such realisation is that internal row insertion operations are Knuth commutative. In fact, the Knuth class of a word encoding the sequence of internal row insertion operations preserves the P-tableau in the Sagan-Stanley skew RSK correspondence when the matrix word is empty. It confirms that all Littlewood-Richardson (LR) commutors, known up to date, are involutions and coincide as predicted by Pak and Vallejo.
Institution: DMUC 17-46
Online version: http://www.mat.uc.pt...prints/eng_2017.html
Download: Not available
 
© Centre for Mathematics, University of Coimbra, funded by
Science and Technology Foundation
Powered by: rdOnWeb v1.4 | technical support