Year
2018
Season
Summer
Paper Type
Master's Thesis
College
College of Arts and Sciences
Degree Name
Master of Arts (MA)
Department
Mathematics & Statistics
NACO controlled Corporate Body
University of North Florida. Department of Mathematics and Statistics
First Advisor
Dr. Jose Franco
Second Advisor
Dr. Dan Dreibelbis
Rights Statement
http://rightsstatements.org/vocab/InC/1.0/
Third Advisor
Dr. Jae-Ho Lee
Department Chair
Dr. Richard F. Patterson
College Dean
Dr. George W. Rainbolt
Abstract
In PDEs with nontrivial Lie symmetry algebras, the Lie symmetry naturally yield Fourier and Laplace transforms of fundamental solutions. Applying this fact we discuss the semidirect product of the metaplectic group and the Heisenberg group, then induce a representation our group and use it to investigate the invariant solutions of a general differential equation of the form .
Suggested Citation
Webster, Benjamin, "On Representations of the Jacobi Group and Differential Equations" (2018). UNF Graduate Theses and Dissertations. 858.
https://digitalcommons.unf.edu/etd/858
Included in
Algebra Commons, Algebraic Geometry Commons, Harmonic Analysis and Representation Commons