Expansions of k-Schur Functions in the Affine nilCoxeter Algebra

Chris Berg, Nantel Bergeron, Steven Pon, Mike Zabrocki

Abstract


We give a type free formula for the expansion of $k$-Schur functions indexed by fundamental coweights within the affine nilCoxeter algebra. Explicit combinatorics are developed in affine type $C$.


Keywords


Schubert calculus; affine Grassmannian; nilCoxeter algebra; k-Schur

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