Bruhat interval polytopes

DOI10.1016/j.aim.2015.07.030zbMath1323.05010OpenAlexW2964308896MaRDI QIDQ887320

Emmanuel Tsukerman, Lauren K. Williams

Publication date: 28 October 2015

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2015.07.030

zbMATH Keywords

polytopesflag varietiestotal positivityKazhdan-Lusztig polynomialsBruhat orderlifting property\(R\)-polynomialsmatroid stratification

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Permutations, words, matrices (05A05) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (27)

The hypersimplex canonical forms and the momentum amplituhedron-like logarithmic forms ⋮ The generalized lifting property of Bruhat intervals ⋮ Conic decomposition of a toric variety and its application to cohomology ⋮ Poincaré polynomials of generic torus orbit closures in Schubert varieties ⋮ The 𝑚=2 amplituhedron and the hypersimplex: Signs, clusters, tilings, Eulerian numbers ⋮ Stellahedral geometry of matroids ⋮ Complexity of the usual torus action on Kazhdan-Lusztig varieties ⋮ The \(m=2\) amplituhedron and the hypersimplex ⋮ Subdivisions of generalized permutahedra ⋮ Remixed Eulerian numbers ⋮ Weight polytopes and saturation of Demazure characters ⋮ One-skeleton posets of Bruhat interval polytopes ⋮ On two notions of total positivity for partial flag varieties ⋮ The positive Grassmannian, the amplituhedron, and cluster algebras ⋮ Signed permutohedra, delta‐matroids, and beyond ⋮ GKM theory for orbifold stratified spaces and application to singular toric varieties ⋮ Toric Bruhat interval polytopes ⋮ Lattice Points in the Newton Polytopes of Key Polynomials ⋮ Compression of \(\mathrm{M}^\natural\)-convex functions -- flag matroids and valuated permutohedra ⋮ Vertices of Schubitopes ⋮ Generic torus orbit closures in Schubert varieties ⋮ Fifty years of the finite nonperiodic Toda lattice: a geometric and topological viewpoint ⋮ Coxeter submodular functions and deformations of Coxeter permutahedra ⋮ On Schubert varieties of complexity one ⋮ Casselman’s Basis of Iwahori Vectors and Kazhdan–Lusztig Polynomials ⋮ The universal valuation of Coxeter matroids ⋮ Toric Richardson varieties of Catalan type and Wedderburn-Etherington numbers

Cites Work

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