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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