S. Fomin, D. Stanton, “Rim hook lattices”, Algebra i Analiz, 1997, Volume 9, Issue 5,Pages <nobr>140

This article is cited in 11 papers

Research Papers

Rim hook lattices

S. Fomin^ab, D. Stanton^cb

^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

Language: English