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Creators/Authors contains: "Almousa, Ayah"

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  1. ; ; ; ; ; ; (, Journal of Software for Algebra and Geometry)
    Free, publicly-accessible full text available May 20, 2026
  2. ; ; (, Annals of Representation Theory)
    Supersolvable hyperplane arrangements and matroids are known to give rise to certain Koszul algebras, namely their Orlik–Solomon algebras and graded Varchenko–Gel’fand algebras. We explore how this interacts with group actions, particularly for the braid arrangement and the action of the symmetric group, where the Hilbert functions of the algebras and their Koszul duals are given by Stirling numbers of the first and second kinds, respectively. The corresponding symmetric group representations exhibit branching rules that interpret Stirling number recurrences, which are shown to apply to all supersolvable arrangements. They also enjoy representation stability properties that follow from Koszul duality. 
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    Free, publicly-accessible full text available January 1, 2026
  3. ; ; (, Journal of Pure and Applied Algebra)
    Full Text Available 
  4. ; ; ; ; (, Journal of the London Mathematical Society)
    Abstract Working in a polynomial ring , where is an arbitrary commutative ring with 1, we consider the th Veronese subalgebras , as well as natural ‐submodules inside . We develop and use characteristic‐free theory of Schur functors associated to ribbon skew diagrams as a tool to construct simple ‐equivariant minimal free ‐resolutions for the quotient ring and for these modules . These also lead to elegant descriptions of for all and for any pair of these modules . 
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