A recursion formula for k-Schur functions

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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.
18 pages, 3 figures

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Combinatorics, 05E05

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http://salesiana.dossiersoluciones.com/handle/123456789/138923

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.4509
 http://arxiv.org/abs/0709.4509

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arXiv