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arXiv · 1509.03292

Wonderful Symmetric Varieties and Schubert Polynomials

Mahir Bilen Can·Michael Joyce·Benjamin Wyser
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Abstract

Extending results of Wyser, we determine formulas for the equivariant cohomology classes of closed orbits of certain families of spherical subgroups of $GL_n$ on the flag variety $GL_n/B$. Putting this together with a slight extension of the results of Can-Joyce-Wyser, we arrive at a family of polynomial identities which show that certain explicit sums of Schubert polynomials factor as products of linear forms.

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Mahir Bilen Can, Michael Joyce, Benjamin Wyser. 2017-12-09. Wonderful Symmetric Varieties and Schubert Polynomials. https://arxiv.org/abs/1509.03292

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