Calculations of Tensor Products Over Modular Representations in Characteristic P

dc.contributor.authorWood, Jonathan Andrew
dc.date.accessioned2016-10-25T18:36:42Z
dc.date.available2016-10-25T18:36:42Z
dc.date.issued2016-06
dc.description37 pages. A thesis presented to the Department of Mathematics and the Clark Honors College of the University of Oregon in partial fulfillment of the requirements for degree of Bachelor of Science, Spring 2016.en_US
dc.description.abstractIn papers by J.A. Green and R.-C. Renaud indecomposable modules of cyclic groups of prime power order are studied through the use of tensor products, as well as the characters on these modules. In this paper I will exhibit two decompositions, one for the product of any two indecomposable modules as a sum, and another for any single module as a product of basis elements. This will allow for easy computation of the character known as the Frobenius Perron dimension.en_US
dc.identifier.urihttps://hdl.handle.net/1794/20395
dc.language.isoen_USen_US
dc.publisherUniversity of Oregonen_US
dc.relation.ispartofseriesUniversity of Oregon theses, Dept. of Mathematics, Honors College, B.S., 2016;
dc.rightsCreative Commons BY-NC-ND 4.0-USen_US
dc.subjectMathen_US
dc.subjectTensor producten_US
dc.subjectCyclic Groupen_US
dc.subjectModular representationen_US
dc.subjectCharacteristic Pen_US
dc.subjectGreen ringen_US
dc.subjectGrothendiek Ringen_US
dc.titleCalculations of Tensor Products Over Modular Representations in Characteristic Pen_US
dc.typeThesis / Dissertationen_US

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