Browsing by Autor "Universidad de los Andes, Colombia"

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    Categorical Fermionic Actions and Minimal Modular Extensions
    (National Academy of Sciences of Ukraine, 2025) César Galíndo; César F. Venegas-Ramírez; César F. Venegas-Ramírez; Universidad de los Andes, Colombia
    We define fermionic actions of finite super-groups on fermionic fusion categories and establish necessary and sufficient conditions for their existence. Our main result characterizes when a braided fusion category admits a minimal non-degenerate extension in terms of cohomological obstructions. This characterization for braided fusion categories with non-Tannakian Müger center involves the fermionic structures and fermionic actions introduced in this work.