Conference abstracts

Session S03 - Hopf Algebras

No date set

## Hopf automorphisms and twisted extensions

### United States Military Academy, United States   -   maria.vega@usma.edu

In this poster, I will describe some applications of a Hopf algebra constructed from a group acting on another Hopf algebra $A$ as Hopf automorphisms, namely Molnar's smash coproduct Hopf algebra. I will also describe connections between the exponent and Frobenius--Schur indicators of a smash coproduct and the twisted exponents and twisted Frobenius-Schur indicators of the original Hopf algebra $A$.

Joint work with Susan Montgomery (University of Southern California, United States) and Sarah Witherspoon (Texas A&M University, United States).