Super RSK correspondence with symmetry
Combinatorics
2017-11-02 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1711.00420,
title = {Super RSK correspondence with symmetry},
author = {Robert Muth},
journal= {arXiv preprint arXiv:1711.00420},
year = {2017}
}