Expansions of k-Schur Functions in the Affine nilCoxeter Algebra

  • Chris Berg
  • Nantel Bergeron
  • Steven Pon
  • Mike Zabrocki
DOI: https://doi.org/10.37236/2456
Keywords: Schubert calculus, affine Grassmannian, nilCoxeter algebra, k-Schur

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 $C$.

Published
2012-06-28
Issue
Volume 19, Issue 2 (2012)
Article Number
P55