Math 8300: Topics in Algebra (Spring 2019)
Dr. Dihua Jiang
Office: VinH 224, Telephone: 625--7532, E-mail: firstname.lastname@example.org
Lecture: 1:25--2:15pm, MWF VH 301 (Office Hours: by appointment)
This is a one semester course for Representation Theory and Harmonic Analysis.
We will be focused on the theory for SL(2), although more general theory will
mentioned with references.
Part (I) Algebras and Representations
Chapter 4 of the book by R. Goodman and N. Wallach with title:
Symmetry, Representations and Invariants. Springer GTM 255, 2009.
Part (II) Non-Abelian Harmonic Analysis--applications of SL(2,R)
from the book by R. Howe and E.C. Tan, Springer Universitext 1992
Part (III) Explicit Realization/Models of Representations of SL(2)
from I. M. Gelfand book on Generalized Functions Vol 5: Chapter 3 and 7; and Vol 6: Chapter 2,
depending on the course progress.
Homework and Exams:
Homework Problems will be assigned, but no exams are required. Students may give reports to the class.