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Cluster Algebras of Open Richardson Varieties
dc.contributor.authorIngermanson, Grace
dc.date.accessioned2020-01-27T16:26:04Z
dc.date.availableNO_RESTRICTION
dc.date.available2020-01-27T16:26:04Z
dc.date.issued2019
dc.date.submitted2019
dc.identifier.urihttps://hdl.handle.net/2027.42/153460
dc.description.abstractThis thesis shows that the coordinate ring of the open Richardson variety in type A has the structure of an upper cluster algebra. We begin by deriving in- equalities related to northwest rank conditions on a general collection of columns of a matrix. In the special case where w is the unipeak expression for
dc.language.isoen_US
dc.subjectcombinatorics
dc.subjectcluster algebras
dc.subjectflag variety
dc.subjectopen Richardson variety
dc.titleCluster Algebras of Open Richardson Varieties
dc.typeThesis
dc.description.thesisdegreenamePhDen_US
dc.description.thesisdegreedisciplineMathematics
dc.description.thesisdegreegrantorUniversity of Michigan, Horace H. Rackham School of Graduate Studies
dc.contributor.committeememberSpeyer, David E
dc.contributor.committeememberElvang, Henriette
dc.contributor.committeememberKarp, Steven
dc.contributor.committeememberSmith, Karen E
dc.subject.hlbsecondlevelMathematics
dc.subject.hlbtoplevelScience
dc.description.bitstreamurlhttps://deepblue.lib.umich.edu/bitstream/2027.42/153460/1/gmi_1.pdf
dc.identifier.orcid0000-0001-9478-9724
dc.identifier.name-orcidIngermanson, Gracie; 0000-0001-9478-9724en_US
dc.owningcollnameDissertations and Theses (Ph.D. and Master's)


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