We show the existence of a multivariate extension of the Robinson-Schensted correspondence. This is inspired by the interpretation of the classical two dimensional case in the invariant theory of (finite) reflection groups.
@article{BUMI_2008_9_1_3_591_0, author = {Fabrizio Caselli}, title = {On the Multivariate Robinson-Schensted Correspondence}, journal = {Bollettino dell'Unione Matematica Italiana}, volume = {1}, year = {2008}, pages = {591-602}, zbl = {1187.05082}, mrnumber = {2455333}, language = {en}, url = {http://dml.mathdoc.fr/item/BUMI_2008_9_1_3_591_0} }
Caselli, Fabrizio. On the Multivariate Robinson-Schensted Correspondence. Bollettino dell'Unione Matematica Italiana, Tome 1 (2008) pp. 591-602. http://gdmltest.u-ga.fr/item/BUMI_2008_9_1_3_591_0/
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