6 papers
Cocentral Split Abelian Hopf Algebra Extensions from Crossed Cocycles
César Galindo, Giovanny Mora
We study cocentral algebra-split abelian Hopf algebra extensions over an algebraically closed field of characteristic zero for a fixed action of a group on a finite abelian group.…
Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources
Alejandro Borda, Julian Rincon, César Galindo
We show that single-qudit universality in Clifford-based gate sets follows a trichotomy determined by the prime factorization of the local dimension . For prime , any gate ou…
A Note on the Eilenberg-Mac Lane Isomorphism for Quadratic Forms
César Galindo
We give an elementary proof of the Eilenberg-Mac Lane trace isomorphism between the third 2-abelian cohomology group and quadratic forms. Our approach yields explicit constructions…
Zestings of Hopf Algebras
Iván Angiono, César Galindo, Giovanny Mora
We extend the previously established zesting techniques from fusion categories to general tensor categories. In particular we consider the category of comodules over a Hopf algebra…
Modular -Crossed Tambara-Yamagami-like Categories for Even Groups
César Galindo, Simon Lentner, Sven Möller
We explicitly construct nondegenerate braided -crossed tensor categories of the form . They are -…
Computing -Crossed Extensions and Orbifolds of Vertex Operator Algebras
César Galindo, Simon Lentner, Sven Möller
In this article, we develop tools for computing -crossed extensions of braided tensor categories. Their equivariantisations appear as categories of modules of fixed-point subalg…