A tableau formula for eta polynomials

Details A tableau formula for eta polynomials A tableau formula for eta polynomials

2011-09-30

arxiv.org/abs/1109.6702v1

Mathematics

Combinatorics

19 pages

Scientific paper

We use raising operators to prove a tableau formula for eta polynomials and for the Stanley symmetric functions which correspond to Grassmannian elements of the Weyl group W_n of type D_n. We define the skew elements of W_n and exhibit a bijection between the set of reduced words for any skew element w in W_n and a set of certain standard typed tableaux on a skew shape associated to w.

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