Quantum Cluster Characters

dc.contributor.advisor	Berenstein, Arkady	en_US
dc.contributor.author	Rupel, Dylan	en_US
dc.creator	Rupel, Dylan	en_US
dc.date.accessioned	2012-10-26T04:01:34Z
dc.date.available	2012-10-26T04:01:34Z
dc.date.issued	2012
dc.description.abstract	We de ne the quantum cluster character assigning an element of a quantum torus to each representation of a valued quiver (Q; d) and investigate its relationship to external and internal mutations of a quantum cluster algebra associated to (Q; d). We will see that the external mutations are related to re ection functors and internal mutations are related to tilting theory. Our main result will show the quantum cluster character gives a cluster monomial in this quantum cluster algebra whenever the representation is rigid, moreover we will see that each non-initial cluster variable can be obtained in this way from the quantum cluster character.	en_US
dc.identifier.uri	https://hdl.handle.net/1794/12400
dc.language.iso	en_US	en_US
dc.publisher	University of Oregon	en_US
dc.rights	All Rights Reserved.	en_US
dc.subject	Cluster	en_US
dc.subject	Quantum	en_US
dc.subject	Quiver	en_US
dc.subject	Tilting	en_US
dc.title	Quantum Cluster Characters	en_US
dc.type	Electronic Thesis or Dissertation	en_US

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