A Unimodality Identity for a Schur Function

نویسندگان

  • Frederick M. Goodman
  • Kathleen M. O'Hara
  • Dennis Stanton
چکیده

It is well known that the principal specialization of the Schur function, sλ(1, q, . . . , q ), is a unimodal polynomial. A brief representation theoretic proof consists in identifying sλ(1, q, . . . , q ) as the character of a homogeneous polynomial representation of GL(2,C) evaluated at diag(1, q), see [3, p. 67]. Recently O’Hara gave a combinatorial proof [4] of the unimodality of the Gaussian coef-

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عنوان ژورنال:
  • J. Comb. Theory, Ser. A

دوره 60  شماره 

صفحات  -

تاریخ انتشار 1992