Semisimplicity of Certain Representation Categories
| dc.contributor.advisor | Berenstein, Arkady | en_US |
| dc.contributor.author | Foster, John | en_US |
| dc.date.accessioned | 2013-10-03T23:33:29Z | |
| dc.date.available | 2013-10-03T23:33:29Z | |
| dc.date.issued | 2013-10-03 | |
| dc.description.abstract | We exhibit a correspondence between subcategories of modules over an algebra and sub-bimodules of the dual of that algebra. We then prove that the semisimplicity of certain such categories is equivalent to the existence of a Peter-Weyl decomposition of the corresponding sub-bimodule. Finally, we use this technique to establish the semisimplicity of certain finite-dimensional representations of the quantum double $D(U_q(sl_2))$ for generic $q$. | en_US |
| dc.identifier.uri | https://hdl.handle.net/1794/13269 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | University of Oregon | en_US |
| dc.rights | All Rights Reserved. | en_US |
| dc.title | Semisimplicity of Certain Representation Categories | en_US |
| dc.type | Electronic Thesis or Dissertation | en_US |
| thesis.degree.discipline | Department of Mathematics | en_US |
| thesis.degree.grantor | University of Oregon | en_US |
| thesis.degree.level | doctoral | en_US |
| thesis.degree.name | Ph.D. | en_US |
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