Date of Award
Master of Science (MS) in Mathematics
"This thesis is meant to be an introduction to the theory of quantum groups, a new and exciting field having deep relevance to both pure and applied mathematics. Throughout the thesis, basic theory of requisite background material is developed within an overar-ching categorical framework. This background material includes vector spaces, algebras and coalgebras, bialgebras, Hopf algebras, and Lie algebras. The understanding gained from these subjects is then used to explore some of the more basic, albeit important, quantum groups. The thesis ends with an indication of how to proceed into the deeper areas of the theory"--Document.
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Downie, Ryan W., "An introduction to the theory of quantum groups" (2012). EWU Masters Thesis Collection. Paper 36.