Graduation Year
2004
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
Reader 1
Jon Jacobsen
Reader 2
Michael Orrison
Abstract
Voting theory as been explored mathematically since the 1780’s. Many people have tackled parts of it using various tools, and now we shall look at it through the eyes of a representation theorist. Each vote can be thought of as a permutation of the symmetric group, Sn, and a poll is similar to a linear combination of these elements. Specifically, we will focus on translating and generalizing the works of Donald Saari into more algebraic terms to discover not just one space, but a whole isotypic component essential to positional voting.
Recommended Citation
Clifford, Grant, "Representation Theoretical Approach to n-Candidate Voting" (2004). HMC Senior Theses. 161.
https://scholarship.claremont.edu/hmc_theses/161
Thesis Proposal
