Pieri operators on the affine nilCoxeter algebra

Author:

Berg Chris,Saliola Franco,Serrano Luis

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference19 articles.

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1. Generalized nil-Coxeter algebras over discrete complex reflection groups;Transactions of the American Mathematical Society;2017-11-28

2. Pieri rule for the affine flag variety;Advances in Mathematics;2017-01

3. Combinatorial Expansions for Families of Noncommutative $k$-Schur Functions;SIAM Journal on Discrete Mathematics;2014-01

4. Primer on k-Schur Functions;k-Schur Functions and Affine Schubert Calculus;2014

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