MATH 249 LEC A: INTRO LIE GROUPS (45094)
Math 249 Fall 2024
Instructor Contact Information:
Isaac Goldbring
Email: isaac@math.uci.edu
Homepage: https://www.math.uci.edu/~isaac/
Office: RH 417
Office Hours: Mondays at 9am by Zoom. Here's the Zoom link
Links to an external site..
Course Information:
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Text: "An elementary introduction to groups and representations" Links to an external site. by Brian Hall
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Course Description: We will cover the basic facts about matrix Lie groups, their Lie algebras, and their representations. The goal is to cover Chapters 2 through 5 from the notes. We assume that the student is familiar with very basic group theory (as covered in Chapter 1 of the above notes) as well as some basic topology.
- Alternate references: The above notes were later greatly expanded and turned into a book "Lie groups, Lie algebras, and representations: an elementary introduction." Links to an external site. We might occasionally refer to that book for extra material. Another great introduction to elementary Lie theory, again with a focus on matrix Lie groups, is "Naive Lie theory" Links to an external site. by John Stillwell; I recommend this book for additional examples and alternate explanations of important results. We will use Stillwell's book when we cover the Baker-Campbell-Hausdorff theorem rather than Chapter 4 of the Hall notes.
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Class Meetings: The class meets twice a week: Tuesday and Thursday, 10-11:20am in RH 306.
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Grading will be based solely on one problem set, to be turned in on Canvas by Friday, December 6, 11:59pm. I will post a list of problems from the Hall notes and you are to choose and solve any 8 problems that you wish from this problem set. You may work together on the problems, but please acknowledge who you worked with on each problem. I highly encourage you to type up your solutions using LaTex.
Course Summary:
Date | Details | Due |
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Fri Dec 6, 2024 | Assignment Final problem set | due by 11:59pm |