Preprint
The V/L recursion for Macdonald's 7th Variation Schur polynomials
ArXiv.org
26 May 2026
Abstract
We generalize and prove the recursive relation \[ S_(λ)(V) = _(L) V line S_(λ)(V /-5mu/ L) \] 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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Details
- Title
- The V/L recursion for Macdonald's 7th Variation Schur polynomials
- Creators
- Darij Grinberg - Drexel University
- Publication Details
- ArXiv.org
- Resource Type
- Preprint
- Language
- English
- Academic Unit
- Mathematics
- Other Identifier
- 991022183055604721