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Presented By: Lectures on Schubert Polynomials

Schubert Polynomials Lecture 5: More Back-stability

William Fulton (U. Michigan)

After completing (and correcting) our applicatiion of non-intersecting paths from last time, we prove that the polynomials we have defined satisfy the full back-stable property. This leads to an algebraic characterization of back-stable Schubert polynomials, and a natural generalization allowing permutations of nonpositive integers.

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