The Frobenius-Schur indicator of Tambara-Yamagami categories

Abstract

I would like to thank everyone who has helped me write this thesis or in any other aspect of graduate school. In particular, I want to thank my advisor, Tathagata Basak, for all his help and guidance in the process of earning of my degree. I would also like to especially thank Richard Ng for suggesting the problem and for many encouraging and helpful discussions, as well as several excellent literature suggestions. I also want to thank the other members of my committee, Dr. Clifford Bergman, Dr. Leslie Hogben, and Dr. Amanda Weinstein, for their support. Special thanks goes to Melanie for all the assistance and advice that she has given me and all the other graduate students in the Mathematics department. Lastly, I want to thank my friends at Iowa State for all the fun these past five years. vi