|Renato Feres||5-6752||Cupples I, firstname.lastname@example.org|
Section information: Classes meet on Tuesdays and Thursdays from 2:30PM to 4:00PM at Cupples I 218. I'll tell you about office hours on the first day of classes.
Subject: This is an introduction to Lie theory, with emphasis on matrix Lie groups, particularly the so-called classical groups, and their Lie algebras. Lie theory is a central subject in mathematics and an important tool in physics and engineering. In addition to the mathematical theory, I hope to cover some applications of the theory (as time permits and depending on students' interests) to classical and quantum physics.
Text: There is no official text, but the following will be useful:
Tentative list of topics:
Coursework: There will be weekly homework assignments and a final presentation at the end of the semester on a topic of your choosing (related to Lie theory and applications). I'll tell you more details about the presentation in class.
Grades: Your final grade will be based on your homework assignments and the final presentation. We'll discuss the details in class.