@UNPUBLISHED{publication1, title = "Skew RSK and coincidence of Littlewood-Richardson commutors", author = "{AZENHAS, Olga}", year = "2017-11-19", abstract = " We realise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. ", url = "http://www.mat.uc.pt/preprints/eng\_2017.html", note = "" }