arXiv subjects

César F. Venegas-Ramírez

Publications and source records attributed to César F. Venegas-Ramírez.

2 recordsLinked to original sources

arXiv2025

Categorical Fermionic Actions and Minimal Modular Extensions

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.

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arXiv2019

Minimal modular extensions for super-Tannakian categories

In this paper, we continue with the ideas presented in [GVR17]. In this opportunity, we apply the fermionic action concept to classify in cohomology terms the minimal modular extensions of a super-Tannakian category. For this goal, we study some properties of equivariantization and de-equivariantization processes and cohomology data for the fermionic case.

math.QA↗