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- W2951448420 abstract "For permutations $v,w in mathfrak S_n$, Macdonald defines the skew divided difference operators $partial_{w/v}$ as the unique linear operators satisfying $partial_w(PQ) = sum_v v(partial_{w/v}P) cdot partial_vQ$ for all polynomials $P$ and $Q$. We prove that $partial_{w/v}$ has a positive expression in terms of divided difference operators $partial_{ij}$ for $i<j$. In fact, we prove that the analogous result holds in the Fomin-Kirillov algebra $mathcal E_n$, which settles a conjecture of Kirillov." @default.
- W2951448420 created "2019-06-27" @default.
- W2951448420 creator A5033979580 @default.
- W2951448420 date "2014-09-24" @default.
- W2951448420 modified "2023-09-27" @default.
- W2951448420 title "Positive expressions for skew divided difference operators" @default.
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