Graduation Year
2012
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
Reader 1
Matthew Davis
Reader 2
Michael Orrison
Terms of Use & License Information
Rights Information
© Jack Newhouse
Abstract
The Aldous order is an ordering of representations of the symmetric group motivated by the Aldous Conjecture, a conjecture about random processes proved in 2009. In general, the Aldous order is very difficult to compute, and the proper relations have yet to be determined even for small cases. However, by restricting the problem down to Young-Jucys-Murphy elements, the problem becomes explicitly combinatorial. This approach has led to many novel insights, whose proofs are simple and elegant. However, there remain many open questions related to the Aldous Order, both in general and for the Young-Jucys-Murphy elements.
Recommended Citation
Newhouse, Jack, "Explorations of the Aldous Order on Representations of the Symmetric Group" (2012). HMC Senior Theses. 35.
https://scholarship.claremont.edu/hmc_theses/35
