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.
OCLC Number
1434250675
Catalog Permalink
https://galileo-georgiasouthern.primo.exlibrisgroup.com/permalink/01GALI_GASOUTH/1r4bu70/alma9916570850602950
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
