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Some Remarks about the Interaction Between Quantum Algebra and Representation Stability
dc.contributor.authorBarter, Daniel
dc.date.accessioned2017-10-05T20:26:55Z
dc.date.availableNO_RESTRICTION
dc.date.available2017-10-05T20:26:55Z
dc.date.issued2017
dc.date.submitted2017
dc.identifier.urihttps://hdl.handle.net/2027.42/138525
dc.description.abstractTensor categories are ubiquitous in modern mathematics. We will explore how they arise from the perspective of topological quantum computing. Despite their importance, it is hard to do explicit computations inside tensor categories. This is because we don't know how to compute 6j symbols, which are a coordinate representation of the associator. We compute some new 6j symbols and give applications to representation stability and the representation theory of affine braid groups.
dc.language.isoen_US
dc.subjectTensor Categories
dc.titleSome Remarks about the Interaction Between Quantum Algebra and Representation Stability
dc.typeThesisen_US
dc.description.thesisdegreenamePhDen_US
dc.description.thesisdegreedisciplineMathematics
dc.description.thesisdegreegrantorUniversity of Michigan, Horace H. Rackham School of Graduate Studies
dc.contributor.committeememberSnowden, Andrew
dc.contributor.committeememberLiu, James T
dc.contributor.committeememberLam, Thomas
dc.contributor.committeememberSpeyer, David E
dc.subject.hlbsecondlevelMathematics
dc.subject.hlbtoplevelScience
dc.description.bitstreamurlhttps://deepblue.lib.umich.edu/bitstream/2027.42/138525/1/barter_1.pdf
dc.identifier.orcid0000-0002-6423-117X
dc.identifier.name-orcidBarter, Daniel; 0000-0002-6423-117Xen_US
dc.owningcollnameDissertations and Theses (Ph.D. and Master's)


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