Geometry Of Quivers

<p>A quiver is a directed graph, but the term usually implies such a graph is being considered along with representations. These representations consist of vector spaces and linear transformations. We explore some the connections between quivers and geometric structures. To begin, we consider a theorem that says every projective variety can be considered as a quiver Grassmannian. The reasoning of the proof is demonstrated by example. We then prove the existence of a countable quiver containing every finite quiver as a subquiver. Following this we consider some properties of its category of representations. Finally, we give an overview of quiver varieties, which have been well-studied in geometric representation theory.</p>

Name thesis:degree_name

Master of Science (MS)

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Mathematics

Year

2014

Author dc:creator

• Durkin, Patrick Andrew

Contributors dc:contributor

• Bruce Dearden

• geometry, quivers

Repository record dc:identifier

https://commons.und.edu/theses/1527

OAI identifier oai:identifier

oai:commons.und.edu:theses-2528