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Stanley symmetric function

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In mathematics, the Stanley symmetric functions Fw(x1, x2,...) are a family of symmetric polynomials introduced by Richard Stanley (1984) to enumerate reduced decompositions of elements w of symmetric groups

The Stanley symmetric functions are linear combinations of Schur polynomials with non-negative integer coefficients.

References

  • Stanley, Richard P. (1984), "On the number of reduced decompositions of elements of Coxeter groups" (PDF), European Journal of Combinatorics, 5 (4): 359–372, ISSN 0195-6698, MR 0782057
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