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Abstract: The Bernstein operators allow to build recursively the Schur functions. Wepresent a recursion formula for k-Schur functions at t=1 based on combinatorialoperators that generalize the Bernstein operators. The recursion leadsimmediately to a combinatorial interpretation for the expansion coefficients ofk-Schur functions at t=1 in terms of homogeneous symmetric functions.



Author: Daniel Bravo, Luc Lapointe

Source: https://arxiv.org/



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