Results 91 to 100 of about 197,691 (182)
On Formulas and Some Combinatorial Properties of Schubert Polynomials
, 2017 By applying a Gröbner-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.
Yuqun Chen, Zerui Zhang
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Dual Schubert polynomials via a Cauchy identity [PDF]
, 2023 We give a combinatorial proof that Postnikov and Stanley's formula for dual Schubert polynomials in terms of weighted chains in Bruhat order is equivalent to a classical Cauchy identity for polynomials.
Hamaker, Zachary
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Orbit Structure of Grassmannian G2,m and a Decoder for Grassmann Code C(2, m). [PDF]
IEEE Trans Inf Theory, 2023 Piñero FL, Singh P.
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The Prism tableau model for Schubert polynomials [PDF]
, 2016 International audienceThe Schubert polynomials lift the Schur basis of symmetric polynomials into a basis for Z[x1; x2; : : :]. We suggest the prism tableau model for these polynomials.
Weigandt, Anna, Yong, Alexander
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On some invariants of cubic fourfolds. [PDF]
Eur J Math, 2023 Gounelas F, Kouvidakis A.
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Recursive and combinatorial properties of Schubert polynomials
, 1995 . We describe two recursive methods for the calculation of Schubert polynomials and use them to give new relatively simple proofs of their basic properties. Moreover, we present (1) methods for the calculation of a reduced word for a permutation from its
Rudolf Winkel
core
Mitosis recursion for coefficients of Schubert polynomials
Journal of Combinatorial Theory, Series A, 2003 Mitosis is a rule introduced by [Knutson-Miller, 2002] for manipulating subsets of the n by n grid. It provides an algorithm that lists the reduced pipe dreams (also known as rc-graphs) [Fomin-Kirillov, Bergeron-Billey] for a permutation w in S_n by downward induction on weak Bruhat order, thereby generating the coefficients of Schubert polynomials ...
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Journal of High Energy PhysicsWe construct new half-BPS line defects in 3d N = 2 $$ \mathcal{N}=2 $$ supersymmetric quiver gauge theories whose Higgs branches are complete flag manifolds X = Fl(n). Upon circle compactification, the bulk theory flows to a non-linear sigma model (NLSM)
Cyril Closset +5 more
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Novel Mixing Relations for Determining the Effective Thermal Conductivity of Open-Cell Foams. [PDF]
Materials (Basel), 2022 Camacho Hernandez JN +3 more
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, 2012 In this paper, we first discuss the topological properties of projective Stiefel manifolds, we compute their cohomology rings and classify their cohomology endomorphisms; Then by embedding the flag manifold of a classical Lie group into its corresponding infinite dimensional projective Stiefel manifold(which is homotopic to the product of infinite ...
Xu-an, Zhao, Hongzhu, Gao
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