Categorical Fermionic Actions and Minimal Modular Extensions

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dc.contributor.authorCésar Galíndo
dc.contributor.authorCésar F. Venegas-Ramírez
dc.contributor.authorCésar F. Venegas-Ramírez
dc.contributor.authorUniversidad de los Andes, Colombia
dc.coverage.spatialBolivia
dc.date.accessioned2026-03-22T15:40:37Z
dc.date.available2026-03-22T15:40:37Z
dc.date.issued2025
dc.descriptionCitaciones: 1
dc.description.abstractWe 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.
dc.identifier.doi10.3842/sigma.2025.085
dc.identifier.urihttps://doi.org/10.3842/sigma.2025.085
dc.identifier.urihttps://andeanlibrary.org/handle/123456789/53761
dc.language.isoen
dc.publisherNational Academy of Sciences of Ukraine
dc.relation.ispartofSymmetry Integrability and Geometry Methods and Applications
dc.sourceUniversidad de Los Andes
dc.subjectMathematics
dc.subjectCategorical variable
dc.subjectExtension (predicate logic)
dc.subjectModular design
dc.subjectPure mathematics
dc.subjectCharacterization (materials science)
dc.subjectFusion rules
dc.subjectFusion
dc.subjectAlgebra over a field
dc.subjectCenter (category theory)
dc.titleCategorical Fermionic Actions and Minimal Modular Extensions
dc.typearticle

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