César GalíndoCésar F. Venegas-RamírezCésar F. Venegas-RamírezUniversidad de los Andes, Colombia2026-03-222026-03-22202510.3842/sigma.2025.085https://doi.org/10.3842/sigma.2025.085https://andeanlibrary.org/handle/123456789/53761Citaciones: 1We 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.enMathematicsCategorical variableExtension (predicate logic)Modular designPure mathematicsCharacterization (materials science)Fusion rulesFusionAlgebra over a fieldCenter (category theory)article