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We define fermionic actions of finite super-groups on fermionic fusion categories and establish necessary and sufficient conditions for their existence.
The cohomology theory of group extensions
Roger C. Lyndon · 1948
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On the groups of H ( Π , n ) H(\Pi,n) . I
Samuel Eilenberg and Saunders Mac Lane · 1953
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On the groups H ( Π , n ) H(\Pi,n) . II. Methods of computation
Samuel Eilenberg and Saunders Mac Lane · 1954
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On fusion categories
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Z. Wang · 2010
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Pavel Etingof, Dmitri Nikshych, and Victor Ostrik · 2011
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Clifford theory for tensor categories
César Galindo · 2011
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Generalized and quasi-localizations of braid group representations
César Galindo, Seung-Moon Hong, and Eric C. Rowell · 2013
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On braided and ribbon unitary fusion categories
César Galindo · 2014
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Tensor categories
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Pavel Etingof, Dmitri Nikshych, and Viktor Ostrik · 2005
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On braided fusion categories. I
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On Gauging Symmetry of Modular Categories
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Modular Extensions of Unitary Braided Fusion Categories and 2+1D Topological/SPT Orders with Symmetries
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Fermionic modular categories and the 16-fold way
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Minimal nondegenerate extensions
T. Johnson-Freyd and D. Reutter · 2024
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