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By applying a Grobner-Shirshov basis of the symmetric group Sn, we give two formulas for Schubert polynomials, either of which involves only nonnegative monomials. We also prove some combinatorial properties… Click to show full abstract
By applying a Grobner-Shirshov basis of the symmetric group Sn, we give two formulas for Schubert polynomials, either of which involves only nonnegative monomials. We also prove some combinatorial properties of Schubert polynomials. As applications, we give two algorithms to calculate the structure constants for Schubert polynomials, one of which depends on Monk’s formula.
Keywords:
schubert polynomials;
properties schubert;
formulas combinatorial;
combinatorial properties
Journal Title: Algebra Colloquium
Year Published: 2017
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Journal Title: Algebra Colloquium
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!