Blar i forfatter Artikler, rapporter og annet (matematikk og statistikk) "Riener, Cordian Benedikt"

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    • Linear slices of Hyperbolic polynomials and positivity of symmetric polynomial functions 

      Riener, Cordian Benedikt; Schabert, Robin Leonid (Journal article; Tidsskriftartikkel; Peer reviewed, 2023-10-17)
      A real univariate polynomial of degree n is called hyperbolic if all of its n roots are on the real line. Such polynomials appear quite naturally in different applications, for example, in combinatorics and optimization. The focus of this article is on families of hyperbolic polynomials which are determined through k linear conditions on the coefficients. The coefficients corresponding to such a ...

    • The poset of Specht ideals for hyperoctahedral groups 

      Debus, Sebastian; Moustrou, Philippe; Riener, Cordian Benedikt; Verdure, Hugues (Journal article; Tidsskriftartikkel, 2023)
      Specht polynomials classically realize the irreducible representations of the symmetric group. The ideals defined by these polynomials provide a strong connection with the combinatorics of Young tableaux and have been intensively studied by several authors. We initiate similar investigations for the ideals defined by the Specht polynomials associated to the hyperoctahedral group <i>B<sub>n</sub></i>. ...