New Simple Representations of Leavitt Path Algebras

dc.contributor.advisor	Ozaydin, Murad
dc.contributor.author	Pacheco, Elizabeth
dc.contributor.committeeMember	Forester, Max
dc.contributor.committeeMember	Kujawa, Jon
dc.contributor.committeeMember	Przebinda, Tomasz
dc.contributor.committeeMember	Havlicek, Joseph
dc.date.accessioned	2019-12-16T18:40:46Z
dc.date.available	2019-12-16T18:40:46Z
dc.date.issued	2019-12-13
dc.date.manuscript	2019-12-13
dc.description.abstract	This thesis is about representations of Leavitt Path Algebras (LPAs). Specifically, we first generalize a previously known construction of twisted Chen modules over the Leavitt Path Algebra of a directed graph. We then give some thought to its extension to other modules, and present new classes of simple Leavitt Path Algebra modules previously unknown. These are modules generated by indicator functions of closed sets of the set of all infinite paths of a directed graph.	en_US
dc.identifier.uri	https://hdl.handle.net/11244/323243
dc.language	en_US	en_US
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 International	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Leavitt Path Algebras	en_US
dc.subject	Representation theory	en_US
dc.thesis.degree	Ph.D.	en_US
dc.title	New Simple Representations of Leavitt Path Algebras	en_US
ou.group	College of Arts and Sciences::Department of Mathematics	en_US