Term of Award
Summer 2024
Degree Name
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (open access)
Copyright Statement / License for Reuse
This work is licensed under a Creative Commons Attribution 4.0 License.
Department
Department of Mathematical Sciences
Committee Chair
François Ziegler
Committee Member 1
Yi Lin
Committee Member 2
Paul Sobaje
Abstract
Let $H$ be a dense subgroup of a Lie group $G$ with Lie algebra $\LG$. We show that the (diffeological) de Rham cohomology of $G/H$ equals the Lie algebra cohomology of $\LG/\LH$, where $\LH$ is the ideal \mbox{$\{Z\in\LG:\e{tZ}\in H \text{ for all } t\in\RR\}$}
Recommended Citation
Clark, Brant, "The de Rham cohomology of a Lie group modulo a dense subgroup" (2024). Electronic Theses and Dissertations. 2826.
https://digitalcommons.georgiasouthern.edu/etd/2826
Research Data and Supplementary Material
No
