Super RSK correspondence with symmetry
The electronic journal of combinatorics, Tome 26 (2019) no. 2
Super RSK correspondence is a bijective correspondence between superbiwords and pairs of semistandard supertableaux. Such a bijection was given by Bonetti, Senato and Venezia, via an insertion algorithm closely related to Schensted insertion. Notably, the symmetry property satisfied by the classical RSK bijection holds only in special cases under this bijection. We present a new super RSK bijection, based on the mixed insertion process defined by Haiman, where the symmetry property holds in complete generality.
DOI :
10.37236/8150
Classification :
05E10, 05A19, 16T30
Mots-clés : super RSK correspondence, tableau combinatorics
Mots-clés : super RSK correspondence, tableau combinatorics
Affiliations des auteurs :
Robert Muth  1
@article{10_37236_8150,
author = {Robert Muth},
title = {Super {RSK} correspondence with symmetry},
journal = {The electronic journal of combinatorics},
year = {2019},
volume = {26},
number = {2},
doi = {10.37236/8150},
zbl = {1428.05320},
url = {http://geodesic.mathdoc.fr/articles/10.37236/8150/}
}
Robert Muth. Super RSK correspondence with symmetry. The electronic journal of combinatorics, Tome 26 (2019) no. 2. doi: 10.37236/8150
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