Term of Award
Spring 2024
Degree Name
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (restricted to Georgia Southern)
Copyright Statement / License for Reuse
This work is licensed under a Creative Commons Attribution 4.0 License.
Department
Department of Mathematical Sciences
Committee Chair
Paul Sobaje
Committee Member 1
Hua Wang
Committee Member 2
Alina Iacob
Abstract
We consider the use of combinatorics to solve representation theory problems. We looked closely at Kronecker Coefficients and the Tensor Square Conjecture, with different conjec- tures that spiral from it. Li came up with a conjecture that progresses on the Saxl Con- jecture, and we came up with a conjecture that progresses on Li’s Conjecture. We verified the Tensor Square Conjecture for a number of partitions, and examined patterns for the partitions that satisfied this conjecture.
Recommended Citation
Casey, Carly P., "Combinatorial Models Used In Representation Theory" (2024). Electronic Theses and Dissertations. 2789.
https://digitalcommons.georgiasouthern.edu/etd/2789
Research Data and Supplementary Material
No
