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Coefficient lifting for skew divided differences and triple Schubert coefficients

Hwang, Byung-Hak
arXiv (All) · Papers
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05e1414n15algebraic-geometrycombinatorics
Skew divided difference operators \(\partial_{w/v}\), introduced by Macdonald, play an important role in the study of Schubert polynomials and their structure constants. For permutations \(u,v,w\in S_n\), we show that the coefficient of each monomial \(\xx^α\) in \(\partial_{w/v}\SSch_u(\xx;\yy)\),
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