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A recursion formula for $$k$$-Schur functions. (English) Zbl 1207.05213
Summary: The Bernstein operators allow one 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.
##### MSC:
 500000 Symmetric functions and generalizations 5e+10 Combinatorial aspects of representation theory
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##### References:
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