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Algebra i Analiz, 1997, Volume 9, Issue 5, Pages 140–150 (Mi aa876)  

This article is cited in 11 scientific papers (total in 11 papers)

Research Papers

Rim hook lattices

S. Fominab, D. Stantoncb

a Theory of Algorithms Labaratory St. Petersburg Institute of Informatics Russian Academy of Sciences
b Department of Mathematics, Massachusetts Institute of Technology, Cambrige, MA
c School of Mathematics, University of Minnesota, Minneapolis, MN
Abstract: We consider the partial order on partitions of integers defined by removal of rim hooks of a given length. Isomorphism between this poset and a product of Young's lattices leads to rim hook versions of Schensted correspondences. Similar results are given for shifted shapes.
Keywords: Young lattice, rim hooks, differential posets.
Received: 15.05.1996
Bibliographic databases:
Document Type: Article
Language: English
Citation: S. Fomin, D. Stanton, “Rim hook lattices”, Algebra i Analiz, 9:5 (1997), 140–150; St. Petersburg Math. J., 9:5 (1998), 1007–1016
Citation in format AMSBIB
\Bibitem{FomSta97}
\by S.~Fomin, D.~Stanton
\paper Rim hook lattices
\jour Algebra i Analiz
\yr 1997
\vol 9
\issue 5
\pages 140--150
\mathnet{http://mi.mathnet.ru/aa876}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1604377}
\zmath{https://zbmath.org/?q=an:0897.05086}
\transl
\jour St. Petersburg Math. J.
\yr 1998
\vol 9
\issue 5
\pages 1007--1016
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  • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Алгебра и анализ St. Petersburg Mathematical Journal
     
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