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University of Oklahoma

1. Pacheco, Elizabeth. New Simple Representations of Leavitt Path Algebras.

Degree: PhD, 2019, University of Oklahoma

URL: http://hdl.handle.net/11244/323243 

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. Advisors/Committee Members: Ozaydin, Murad (advisor), Forester, Max (committee member), Kujawa, Jon (committee member), Przebinda, Tomasz (committee member), Havlicek, Joseph (committee member).

Subjects/Keywords: Leavitt Path Algebras; Representation theory

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Pacheco, E. (2019). New Simple Representations of Leavitt Path Algebras. (Doctoral Dissertation). University of Oklahoma. Retrieved from http://hdl.handle.net/11244/323243

Chicago Manual of Style (16th Edition):

Pacheco, Elizabeth. “New Simple Representations of Leavitt Path Algebras.” 2019. Doctoral Dissertation, University of Oklahoma. Accessed March 03, 2021. http://hdl.handle.net/11244/323243.

MLA Handbook (7th Edition):

Pacheco, Elizabeth. “New Simple Representations of Leavitt Path Algebras.” 2019. Web. 03 Mar 2021.

Vancouver:

Pacheco E. New Simple Representations of Leavitt Path Algebras. [Internet] [Doctoral dissertation]. University of Oklahoma; 2019. [cited 2021 Mar 03]. Available from: http://hdl.handle.net/11244/323243.

Council of Science Editors:

Pacheco E. New Simple Representations of Leavitt Path Algebras. [Doctoral Dissertation]. University of Oklahoma; 2019. Available from: http://hdl.handle.net/11244/323243

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