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dc.contributor.authorBobtcheva, Ivelinaen_US
dc.date.accessioned2014-03-14T21:12:04Z
dc.date.available2014-03-14T21:12:04Z
dc.date.issued1996-08-29en_US
dc.identifier.otheretd-06062008-151240en_US
dc.identifier.urihttp://hdl.handle.net/10919/37995
dc.description.abstractIn this work we set up a general framework for exact computations of the associativity, commutativity and duality morphisms in a quite general class of tortile categories. The source of the categories we study is the work of Gelfand and Kazhdan, Examples of tensor categories, Invent.Mlath. 109 (l992), 595-617. They proved that, associated to the quantized enveloping algebra of any simple Lie group at a primitive prime root of unity, there is a semisimple monoidal braided category with finite number of simple objects. The prime p needs to be greater than the Coxeter number of the corresponding Lie algebra . We show that each of the Gelfand-Kazhdan categories has at least two subcategories which are tortile, and offer algorithms for computing the associativity, commutativity and duality morphisms in any of those categories. A careful choice of the bases of the simple objects and of the product of two such objects rnake the exact computations possible. The algorithms have been implemented in Mathemetica.en_US
dc.format.mediumBTDen_US
dc.publisherVirginia Techen_US
dc.relation.haspartLD5655.V856_1996.B638.pdfen_US
dc.subjectquantum groupsen_US
dc.subjectrepresentationsen_US
dc.subject6j-symbolsen_US
dc.subjecttortile categoryen_US
dc.subject.lccLD5655.V856 1996.B638en_US
dc.titleNumerical generation of semisimple tortile categories coming from quantum groupsen_US
dc.typeDissertationen_US
dc.contributor.departmentMathematicsen_US
dc.description.degreePh. D.en_US
thesis.degree.namePh. D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen_US
thesis.degree.disciplineMathematicsen_US
dc.contributor.committeechairQuinn, Frank S.en_US
dc.contributor.committeememberGreen, Edward L.en_US
dc.contributor.committeememberHaskell, Peter E.en_US
dc.contributor.committeememberLetzter, Gailen_US
dc.contributor.committeememberLinnell, Peter A.en_US
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-06062008-151240/en_US
dc.date.sdate2008-06-06en_US
dc.date.rdate2008-06-06
dc.date.adate2008-06-06en_US


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