A recursion formula for k-Schur functions

Details A recursion formula for k-Schur functions A recursion formula for k-Schur functions

2007-09-27

arxiv.org/abs/0709.4509v1

Mathematics

Combinatorics

18 pages, 3 figures

Scientific paper

The Bernstein operators allow 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.

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