An introduction to the theory of quantum groups

Author

Ryan W. Downie, Eastern Washington University

Date of Award

2012

Rights

Access is available to all users

Document Type

Thesis

Degree Name

Master of Science (MS) in Mathematics

Department

Mathematics

Abstract

"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.

Comments

Typescript. Vita.

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.

Recommended Citation

Downie, Ryan W., "An introduction to the theory of quantum groups" (2012). EWU Masters Thesis Collection. 36.
https://dc.ewu.edu/theses/36