Article ID Journal Published Year Pages File Type
4656229 Journal of Combinatorial Theory, Series A 2009 18 Pages PDF
Abstract

The Bernstein operators allow one to build recursively the Schur functions. We present a recursion formula for k-Schur 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 k-Schur functions at t=1 in terms of homogeneous symmetric functions.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics