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A Package for Computations in the Representation Theory of Hopf Algebras

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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.
subject
character table
commutative algebra
hopf
hopf algebra
representation theory
contributor
White, Kathleen Dakota (author)
Moore, William F. (committee chair)
Raynor, Sarah (committee member)
Kirkman, Ellen (committee member)
date
2021-06-03T08:36:20Z (accessioned)
2021-06-03T08:36:20Z (available)
2020 (issued)
degree
Mathematics and Statistics (discipline)
identifier
http://hdl.handle.net/10339/98839 (uri)
language
en (iso)
publisher
Wake Forest University
title
A Package for Computations in the Representation Theory of Hopf Algebras
type
Thesis

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