arXiv:0709.4509 Abstract | arXiv Analytics

arXiv:0709.4509 [math.CO]Abstract References Reviews Resources

A recursion formula for k-Schur functions

Published 2007-09-27Version 1

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.

Comments: 18 pages, 3 figures

Categories: math.CO

Subjects: 05E05

Keywords: k-schur functions, recursion formula, bernstein operators, homogeneous symmetric functions, expansion coefficients

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