From the 1 of 7 linked papers with an AI index.
7 papers
Quotients of strongly graded quasi-Hopf algebras
Fabio Calderón, César Galindo
The paper classifies quasi‑Hopf ideals in strongly G‑graded quasi‑Hopf algebras by relating each ideal to a normal subgroup of the grading group and an invariant ideal in the neutr…
Fiber Functors of Equivariantizations of Finite Tensor Categories
César Galindo, Claudia Gallego, Yiby Morales
Let be a finite group acting on a finite tensor category . We classify fiber functors on the equivariantization in terms of equivariant exact modul…
Representation theory of projective Clifford groups via isocategoricality
César Galindo, César Galindo
We prove that the projective Clifford group associated with a finite abelian group is isocategorical to the affine symplectic group $\mathrm{ASp}(A)=\mathrm{Sp}(V_A)\lti…
A Complexity Dichotomy for Quantum Invariants of 3-Manifolds
César Galindo
We determine the complexity of exact evaluation of the Reshetikhin--Turaev and Turaev--Viro invariants of closed connected oriented 3-manifolds, with the underlying tensor category…
Categorical Fermionic Actions and Minimal Modular Extensions
César Galindo, César F. Venegas-RamÃrez
We define fermionic actions of finite super-groups on fermionic fusion categories and establish necessary and sufficient conditions for their existence. Our main result characteriz…
Braided zesting and its applications
Colleen Delaney, César Galindo, Julia Plavnik +2
We give a rigorous development of the construction of new braided fusion categories from a given category known as zesting. This method has been used in the past to provide categor…