45 citations · 155 across the 17 of their papers we have counts for
5 papers · 2 filters
The down operator and expansions of near rectangular k-Schur functions
Chris Berg, Franco Saliola, Luis Serrano
We prove that the Lam-Shimozono "down operator" on the affine Weyl group induces a derivation of the affine Fomin-Stanley subalgebra of the affine nilCoxeter algebra. We use this t…
Expansions of -Schur functions in the affine nilCoxeter algebra
Chris Berg, Nantel Bergeron, Steven Pon +1
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 af…
Symmetries on the lattice of -bounded partitions
Chris Berg, Nathan Williams, Mike Zabrocki
In 2002 R. Suter identified a dihedral symmetry on certain order ideals in Young's lattice and gave a combinatorial action on the partitions in these order ideals. Viewing this res…
Crystal rules for -JM partitions
Chris Berg
Vazirani and the author \cite{BV} gave a new interpretation of what we called -partitions, also known as -Carter partitions. The primary interpretation of such a pa…
Expansion of -Schur functions for maximal -rectangles within the affine nilCoxeter algebra
Chris Berg, Nantel Bergeron, Hugh Thomas +1
We give several explicit combinatorial formulas for the expansion of k-Schur functions indexed by maximal rectangles in terms of the standard basis of the affine nilCoxeter algebra…