Group Frames and Partially Ranked Data

Author

Kwang B. Ketcham, Harvey Mudd CollegeFollow

Graduation Year

2010

Document Type

Open Access Senior Thesis

Degree Name

Bachelor of Science

Department

Mathematics

Reader 1

Dagan Karp

Reader 2

Michael Orrison

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

Rights Information

© 2010 Kwang B. Ketcham

Abstract

We give an overview of finite group frames and their applications to calculating summary statistics from partially ranked data, drawing upon the work of Rachel Cranfill (2009). We also provide a summary of the representation theory of compact Lie groups. We introduce both of these concepts as possible avenues beyond finite group representations, and also to suggest exploration into calculating summary statistics on Hilbert spaces using representations of Lie groups acting upon those spaces.

Comments

Previously linked to as: http://ccdl.libraries.claremont.edu/u?/stc,333

Recommended Citation

Ketcham, Kwang B., "Group Frames and Partially Ranked Data" (2010). HMC Senior Theses. 19.
https://scholarship.claremont.edu/hmc_theses/19