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Award ID contains: 2146392

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  1. ; ; (, Bulletin of the London Mathematical Society)
    Abstract We show that over a perfect field, every non‐semisimple finite tensor category with finitely generated cohomology embeds into a larger such category where the tensor product property does not hold for support varieties. 
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    Free, publicly-accessible full text available June 1, 2025
  2. ; ; ; ; (, Journal of the London Mathematical Society)
    Abstract For a finite group , a ‐crossed braided fusion category is a ‐graded fusion category with additional structures, namely, a ‐action and a ‐braiding. We develop the notion of ‐crossed braided zesting: an explicit method for constructing new ‐crossed braided fusion categories from a given one by means of cohomological data associated with the invertible objects in the category and grading group . This is achieved by adapting a similar construction for (braided) fusion categories recently described by the authors. All ‐crossed braided zestings of a given category are ‐extensions of their trivial component and can be interpreted in terms of the homotopy‐based description of Etingof, Nikshych, and Ostrik. In particular, we explicitly describe which ‐extensions correspond to ‐crossed braided zestings. 
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  3. ; ; (, Orbita Mathematicae)
    We describe the structure and different features of Lie algebras in the Verlinde category, obtained as semisimplification of contragredient Lie algebras in characteristic p with respect to the adjoint action of a Chevalley generator. In particular, we construct a root system for these algebras that arises as a parabolic restriction of the known root system for the classical Lie algebra. This gives a lattice grading with simple homogeneous components and a triangular decomposition for the semisimplified Lie algebra. We also obtain a non-degenerate invariant form that behaves well with the lattice grading. As an application, we exhibit concrete new examples of Lie algebras in the Verlinde category. 
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    Free, publicly-accessible full text available January 1, 2026
  4. ; ; (, Bulletin of the Belgian Mathematical Society - Simon Stevin)
    Free, publicly-accessible full text available November 16, 2025
  5. ; ; (, Journal of Algebra)
    Free, publicly-accessible full text available October 1, 2025
  6. ; ; (, Annals of Representation Theory)
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  7. ; ; ; (, Transformation Groups)
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