On the Sn-Modules Generated by Partitions of a Given Shape

نویسندگان

  • Daniel M. Kane
  • Steven Sivek
چکیده

Given a Young diagram λ and the set Hλ of partitions of {1, 2, . . . , |λ|} of shape λ, we analyze a particular S|λ|-module homomorphism QH λ → QHλ ′ to show that QHλ is a submodule of QHλ ′ whenever λ is a hook (n, 1, 1, . . . , 1) with m rows, n ≥ m, or any diagram with two rows.

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عنوان ژورنال:
  • Electr. J. Comb.

دوره 15  شماره 

صفحات  -

تاریخ انتشار 2008