A Package for Computations in the Representation Theory of Hopf Algebras

Abstract

Our goal is to understand the representation theory of a Hopf algebra, specifically the construction of the character table for semisimple almost cocommutative Hopf algebras. The end product of our work is a software package \texttt{HopfAlgebras2} for the computer algebra system \texttt{Macaulay2} with the functionality to automate the computation of the character table and other important representation-theoretic information about a Hopf algebra.