Lie Algebras and Special Functions

MAT 6932

Section 4808

Instructor: Paul Robinson

Class time and place: MTWRF 6 (15:30-16:45); 127 Little Hall

Office hours:


This course will offer an introduction to Lie algebras and their representation theory; the Lie algebras will be finite-dimensional, but the representations may not be. Although the thrust of the course will be algebraic, we will devote substantial effort to relationships with differential equations and special functions. In particular, Hermite polynomials and Legendre functions will be considered in some detail, along with Bessel functions if time and interest permit; we should point out that all of these special functions feature prominently in applications.

Participants will be expected to perform e-scribal duties and solve associated problems.  

 

Suggested (not required) texts:

J.E. Humphreys:  Introduction to Lie Algebras and Representation Theory (Springer)

H. Samelson: Notes on Lie Algebras (Springer)

N.N. Lebedev: Special Functions & Their Applications (Dover)

H. Hochstadt: The Functions of Mathematical Physics (Dover)

Lectures

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