A Tableau Formula for Eta Polynomials
نویسنده
چکیده
We use the Pieri and Giambelli formulas of [BKT1, BKT3] and the calculus of raising operators developed in [BKT2, T1] to prove a tableau formula for the eta polynomials of [BKT3] and the Stanley symmetric functions which correspond to Grassmannian elements of the Weyl group W̃n of type Dn. We define the skew elements of W̃n and exhibit a bijection between the set of reduced words for any skew w ∈ W̃n and a set of certain standard typed tableaux on a skew shape λ/μ associated to w.
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تاریخ انتشار 2013