The down operator and expansions of near rectangular k-Schur functions

Details The down operator and expansions of near rectangular k-Schur functions The down operator and expansions of near rectangular k-Schur functions

2011-12-19

arxiv.org/abs/1112.4460v3

Mathematics

Combinatorics

Scientific paper

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 to verify a conjecture of Berg, Bergeron, Pon and Zabrocki describing the expansion of k-Schur functions of "near rectangles" in the affine nilCoxeter algebra. Consequently, we obtain a combinatorial interpretation of the corresponding k-Littlewood--Richardson coefficients.

Affiliated with

Also associated with

No associations

Rating

The down operator and expansions of near rectangular k-Schur functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The down operator and expansions of near rectangular k-Schur functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The down operator and expansions of near rectangular k-Schur functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-53572