The V/L recursion for Macdonald's 7th Variation Schur polynomials
Abstract
We generalize and prove the recursive relation \[ Sλ(V) = ΣL⊂eq V line Sλ(V /-5mu/ L) \] conjectured by I. G. Macdonald for his "7th variation" of the Schur functions. This variation is a family of polynomials over a finite field that mimic the (straight and skew) Schur polynomials using powers of the Frobenius.
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