141 citations · 464 across the 35 of their papers we have counts for
43 papers
On Split Forms of Fusion Categories
César Galindo
We formulate split Galois descent for fusion categories through framed equivalences, reducing the existence of a split form to a group-theoretic splitting problem. The associated d…
Unitary Yang--Baxter Operators: Towards a Classification
Cesar Galindo, Eric C. Rowell
There is a well-known circle of conjectures relating unitary solutions of the Yang--Baxter equation, unitary braided fusion categories, topological quantum computation, and link in…
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…
Quotients of graded quasi-Hopf algebras
Fabio Calderón, César Galindo
We classify the quasi-Hopf ideals of quasi-Hopf algebras faithfully graded by arbitrary groups. Each ideal determines a normal subgroup, recording which degrees are identified in t…
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…
Representation theory of projective Clifford groups via isocategoricality
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…