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

Creative Commons License
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

Research Data and Supplementary Material

No

Share

COinS