Physics 618: Applied Group Theory. Spring 2022. Professor Gregory Moore

Because of the pandemic the course will be conducted entirely via an online format. I will send a Zoom invitation via email. Please do not share that Zoom link. Auditors are welcome, but they must contact me first. Please note: I am always open to requests for covering specific topics. gm

This is a course on group theory primarily intended for physics graduate students intending to specialize in condensed matter or particle theory. It will also have material of interest to mathematics students with some interest in mathematical physics. A more detailed course description of a past incarnation can be found here.


The first class will be on Thursday, Jan. 20, 2020, at 10:20am. We will then meet on subsequent Mondays and Thursdays 10:20am - 11:40am, with a spring break, until the beginning of May. The final class is scheduled to be on Monday, May 2, 2022. The final paper is due on by the end of exam period 12am, Thursday, May 12, 2022 as a pdf in my email inbox.

A description of potential topics and some administrative matters can be found be found here. There are also pdf notes from lectures and videos of lectures from previous incarnations below.


A list of suggested topics for the term paper can be found here. You should feel free to choose another topic as long as it makes some use of both group theory and physics. Check with me on whatever topic you choose.


Lecture Notes

You can find the relevant lecture notes below. I will be modifying, adding, and maybe subtracting material from these lecture notes in an effort to improve them as the course proceeds.

Chapter 1 lecture notes.

Chapter 2 lecture notes.

Chapter 3 lecture notes.

Chapter 4 lecture notes.

Chapter 8 lecture notes.

Chapter 10 lecture notes.

Here are the pdf notes of what I wrote on the Ipad, Spring 2022:

Lecture 1: Thursday, January 20, 2022 notes.

Lecture 2: Monday, January 24, 2022 notes.

Lecture 3: Thursday, January 27, 2022 notes.

Lecture 4: Monday, January 31, 2022 notes.

Lecture 5: Thursday, February 3, 2022 notes.

Lecture 6: Monday, February 7, 2022 notes.

Lecture 7: Thursday, February 10, 2022 notes.

Lecture 8: Monday, February 14, 2022 notes.

Lecture 9: Thursday, February 17, 2022 notes.

Lecture 10: Monday, February 21, 2022 notes.

Lecture 11: Thursday, February 24, 2022 notes.

Lecture 12: Monday, February 28, 2022 notes.

Lecture 13: Thursday, March 3, 2022 notes.

Lecture 14: Monday, March 7, 2022 notes.

Lecture 15: Thursday, March 10, 2022 notes.

Lecture 16: Monday, March 21, 2022 notes.

Lecture 17: Thursday, March 24, 2022 notes.

Lecture 18: Monday, March 28, 2022 notes.

Lecture 19: Thursday, March 31, 2022 notes.

Lecture 20: Monday, April 4, 2022 notes.

Lecture 21: Thursday, April 7, 2022 notes.

Lecture 22: Monday, April 11, 2022 notes.

Lecture 23: Thursday, April 14, 2022 notes.

Lecture 24: Monday, April 18, 2022 notes.

Lecture 25: Thursday, April 21, 2022 notes.

Lecture 26: Monday, April 25, 2022 notes.

Lecture 27: Thursday, April 28, 2022 notes.

Lecture 28: May 2, 2022 notes.

Here is a link to the Zoom recording of the lectures, Spring 2022:

Lecture 1: Thursday, January 20, 2022 .

Lecture 2: Monday, January 24,, 2022 .

Lecture 3: Thursday, January 27, 2022 .

Lecture 4: Monday, January 31, 2022 .

Lecture 5: Thursday, February 3, 2022 .

Lecture 6: Monday, February 7, 2022 .

Lecture 7: Thursday, February 10, 2022 .

Lecture 8: Monday, February 14, 2022 .

Lecture 9: Thursday, February 17, 2022 .

Lecture 10: Monday, February 21, 2022 .

Lecture 11: Thursday, February 24, 2022 .

Lecture 12: Monday, February 28, 2022 .

Lecture 13: Thursday, March 3, 2022 .

Lecture 14: Monday, March 7, 2022 .

Lecture 15: Thursday, March 10, 2022 .

Lecture 16: Monday, March 21, 2022 .

Lecture 17: Thursday, March 24, 2022 .

Lecture 18: Monday, March 28, 2022 .

Lecture 19: Thursday, March 31, 2022 .

Lecture 20: Monday, April 4, 2022 .

Lecture 21: Thursday, April 7, 2022 .

Lecture 22: Monday, April 11, 2022 .

Lecture 23: Thursday, April 14, 2022 .

Lecture 24: Monday, April 18, 2022 .

Lecture 25: Thursday, April 21, 2022 .

Lecture 26: Monday, April 25, 2022 .

Lecture 27: Thursday, April 28, 2022 .

Lecture 28: May 2, 2022 .

Here are the pdf notes of what I wrote on the Ipad (2021):

Lecture 1: Thursday, January 21 notes.

Lecture2: Monday, January 25 notes.

Lecture3: Thursday, January 28 notes.

Lecture4: Monday, February 1 notes.

Lecture5: Thursday, February 4 notes.

Lecture6: Monday, February 8 notes.

Lecture7: Thursday, February 11 notes.

Lecture8: Monday, February 15 notes.

Lecture9: Thursday, February 18 notes.

Lecture10: Monday, February 22 notes.

Lecture11: Thursday, February 25 notes.

Lecture12: Monday, March 1 notes.

Lecture13: Thursday, March 4 notes.

Lecture14: Monday, March 8 notes.

Lecture15: Thursday, March 11 notes.

Lecture16: Monday, March 22 notes.

Lecture17: Thursday, March 25 notes.

Lecture18: Monday, March 29 notes.

Lecture19: Thursday, April 1 notes.

Lecture20: Monday, April 5 notes.

Lecture21: Thursday, April 8 notes.

Lecture22: Monday, April 12 notes.

Lecture23: Thursday, April 15 notes.

Lecture24: Monday, April 19 notes.

Lecture25: Thursday, April 22 notes.

Lecture26: Monday, April 26 notes .

Lecture27: Thursday, April 27 notes .

Lecture28: Monday, May 3 notes .

Here are the pdf notes of what I wrote on the Ipad (2020):

March 20 notes.

March 24 notes.

March 27 notes.

March 31 notes.

April 3 notes.

April 7 notes.

April 10 notes.

April 14 notes.

April 17 notes.

April 21 notes.

April 24 notes.

April 28 notes.

May 1 notes.

Here is a link to the Zoom recording of the lectures (2021):

Lecture 1: Thursday, January 21 .

Lecture2: Monday, January 25: No recording.

Lecture3: Thursday, January 28.

Lecture4: Monday, February 1 .

Lecture5: Thursday, February 4 .

Lecture6: Monday, February 8 .

Lecture7: Thursday, February 11 .

Lecture8: Monday, February 15 .

Lecture9: Thursday, February 18 .

Lecture10: Monday, February 22 .

Lecture11: Thursday, February 25 .

Lecture12: Monday, March 1 .

Lecture13: Thursday, March 4 .

Lecture14: Monday, March 8 .

Lecture15: Thursday, March 11 .

Lecture16: Monday, March 22 .

Lecture17: Thursday, March 25 .

Lecture18: Monday, March 29 .

Lecture19: Thursday, April 1 .

Lecture20: Monday, April 5 .

Lecture21: Thursday, April 8 .

Lecture22: Monday, April 12 .

Lecture23: Thursday, April 15 .

Lecture24: Monday, April 19 .

Lecture25: Thursday, April 22 .

Lecture25: Thursday, April 22 .

Lecture26: Monday, April 26 .

Lecture27: Thursday, April 29 .

Lecture28: Monday, May 3 .

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