Pieri operators on the affine nilCoxeter algebra

Berg, Chris; Saliola, Franco; Serrano, Luis

doi:10.1090/S0002-9947-2013-05895-3

Pieri operators on the affine nilCoxeter algebra
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by Chris Berg, Franco Saliola and Luis Serrano PDF

Trans. Amer. Math. Soc. 366 (2014), 531-546 Request permission

Abstract:

We study a family of operators on the affine nilCoxeter algebra. We use these operators to prove conjectures of Lam, Lapointe, Morse, and Shimozono regarding strong Schur functions.

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