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arXiv · 0709.4509

A recursion formula for k-Schur functions

Daniel Bravo·Luc Lapointe
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Abstract

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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Daniel Bravo, Luc Lapointe. 2007-09-27. A recursion formula for k-Schur functions. https://arxiv.org/abs/0709.4509

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