Date of Award
Summer 8-18-2023
Level of Access Assigned by Author
Open-Access Thesis
Degree Name
Master of Arts (MA)
Department
Mathematics
Advisor
Andrew Knightly
Second Committee Member
Jack Buttcane
Third Committee Member
Tyrone Crisp
Abstract
We derive a trace formula that can be used to study representations of a finite group G induced from arbitrary representations of a subgroup Γ. We restrict our attention to finite-dimensional representations over the field of complex numbers. We consider some applications and examples of our trace formula, including a proof of the well-known Frobenius reciprocity theorem.
Recommended Citation
Chasek, Miles, "A Vector-valued Trace Formula for Finite Groups" (2023). Electronic Theses and Dissertations. 3843.
https://digitalcommons.library.umaine.edu/etd/3843