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- W2147172292 abstract "We present combinatorial rules (one theorem and two conjectures) concerning three bases of Z[x1,x2,....]. First, we prove a splitting rule for the basis of key polynomials [Demazure '74], thereby establishing a new positivity theorem about them. Second, we introduce an extension of [Kohnert '90]'s moves to conjecture the first combinatorial rule for a certain deformation [Lascoux '01] of the key polynomials. Third, we use the same extension to conjecture a new rule for the Grothendieck polynomials [Lascoux-Schutzenberger '82]." @default.
- W2147172292 created "2016-06-24" @default.
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- W2147172292 date "2013-02-01" @default.
- W2147172292 modified "2023-09-27" @default.
- W2147172292 title "Combinatorial rules for three bases of polynomials" @default.
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