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On the sign-imbalance of skew partition shapes
Royal Institute of Technology, Sweden.
2007 (English)In: European journal of combinatorics (Print), ISSN 0195-6698, E-ISSN 1095-9971, Vol. 28, no 6, p. 1582-1594Article in journal (Refereed) Published
Abstract [en]

Let the sign of a skew standard Young tableau be the sign of the permutation you get by reading it row by row from left to right, like a book. We examine how the sign property is transferred by the skew Robinson-Schensted correspondence invented by Sagan and Stanley. The result is a remarkably simple generalization of the ordinary non-skew formula. The sum of the signs of all standard tableaux on a given skew shape is the sign-imbalance of that shape. We generalize previous results on the sign-imbalance of ordinary partition shapes to skew ones. 

Place, publisher, year, edition, pages
2007. Vol. 28, no 6, p. 1582-1594
National Category
Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-4946DOI: 10.1016/j.ejc.2006.08.013ISI: 000248181800004Scopus ID: 2-s2.0-34250633270OAI: oai:DiVA.org:mdh-4946DiVA, id: diva2:159703
Available from: 2009-02-09 Created: 2009-02-09 Last updated: 2017-12-14Bibliographically approved

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