Titlebook: Recent Trends in Algebraic Combinatorics; Hélène Barcelo,Gizem Karaali,Rosa Orellana Book 2019 The Author(s) and the Association for Women

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過(guò)份艷麗

On Positivity of Ehrhart Polynomials,cients of this polynomial Ehrhart coefficients and say a polytope is Ehrhart positive if all Ehrhart coefficients are positive (which is not true for all integral polytopes). The main purpose of this chapter is to survey interesting families of polytopes that are known to be Ehrhart positive and dis

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A Tale of Centrally Symmetric Polytopes and Spheres,s. The topics discussed range from neighborliness of centrally symmetric polytopes and the Upper Bound Theorem for centrally symmetric simplicial spheres to the Generalized Lower Bound Theorem for centrally symmetric simplicial polytopes and the lower bound conjecture for centrally symmetric simplic

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Crystal Constructions in Number Theory,ized by Littelmann patterns, and we give a survey of purely combinatorial constructions of prime power coefficients of Weyl group multiple Dirichlet series and metaplectic Whittaker functions using the language of crystal graphs. We explore how the branching structure of crystals manifests in these

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