B and D analogues of stable Schubert polynomials and related insertion algorithms Autor Lam, Tao Kai

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Schur Times Schubert via the Fomin-Kirillov Algebra Autor Meszaros, Karola, Panova, Greta, Postnikov, Alexander

“…We study multiplication of any Schubert polynomial S[subscript w] by a Schur polynomial sλ (the Schubert polynomial of a Grassmannian permutation) and the expansion of this product in the ring of Schubert polynomials. …”
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New combinatorics of the weak and strong Bruhat orders Autor Gaetz, Christian

“…Further developments---either directly related or related in our thinking at the time---involve weighted path enumeration in the weak and strong Bruhat orders, specializations of Schubert polynomials, separable elements in finite Weyl groups, and inequalities for linear extensions of finite posets.…”
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A canonical expansion of the product of two Stanley symmetric functions Autor Li, Nan

“…Our approach is to consider a Stanley symmetric function as a stabilized Schubert F[subscript w] = lim[subscript n →∞] S[subscript 1[superscipt n]x w], and study the behavior of the expansion of S[subscript 1[superscript n] x w]⋅S[subscript 1[superscript n] x u] into Schubert polynomials as n increases. We prove that this expansion stabilizes and thus we get a natural expansion for the product of two Stanley symmetric functions. …”
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Root polytopes, triangulations, and subdivision algebras Autor Mészáros, Karola

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