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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
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
Linking options:
https://www.mathnet.ru/eng/aa876 https://www.mathnet.ru/eng/aa/v9/i5/p140
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