A recursion formula for kSchur functions
Abstract
The Bernstein operators allow to build recursively the Schur functions. We present a recursion formula for kSchur functions at t=1 based on combinatorial operators that generalize the Bernstein operators. The recursion leads immediately to a combinatorial interpretation for the expansion coefficients of kSchur functions at t=1 in terms of homogeneous symmetric functions.
 Publication:

arXiv eprints
 Pub Date:
 September 2007
 arXiv:
 arXiv:0709.4509
 Bibcode:
 2007arXiv0709.4509B
 Keywords:

 Mathematics  Combinatorics;
 05E05
 EPrint:
 18 pages, 3 figures