S. Fomin, D. Stanton, “Rim hook lattices”, Алгебра и анализ, 1997, том 9, выпуск 5,страницы 140

Эта публикация цитируется в 11 статьях

Статьи

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

Аннотация: 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.

Ключевые слова: Young lattice, rim hooks, differential posets.

Поступила в редакцию: 15.05.1996

Язык публикации: английский