GROUP THEORY

PHYS 7143 -
fall 2017

Tu,Th 12:00-1:15 Howey S106
birdtracks.eu/~predrag/courses/PHYS-7143-17

August 22

1. Linear algebra: vectors, matrices, eigenvalues

Feel free -at any time- to suggest topics that you would like to see covered in the course.

Lecture notes and problem set #1 (due Tuesday, August 29)

August 24

2. Projection operators

you got a new idea?

August 29

3. Don’t know group theory

Lecture notes and problem set #2 (due Tuesday, September 5)

August 31

4. Finite groups - definitions

September 5

5. Group representations

Lecture notes and problem set #3 (due Thursday, September 14)

September 7

6. Schur's Lemma

Our competition: MIT 18.085 Computational Science and Engineering I

September 12 Guest lecturer: Hurricane Irma

7. Wonderful Orthogonality Theorem

Lecture notes and problem set #4 (due Tuesday, September 19)

September 14

8. Hard work builds character

Optional fun reading: Penrose and no need to learn all these "Greek" words

September 19

9. Irreps decomposition

Lecture notes and problem set #5 (due Tuesday, September 26)

September 21

10. It takes class

September 23

A fun read on group theory

we definitely will not cover: Marcus du Sautoy Finding Moonshine: A Mathematician's Journey Through Symmetry

September 26

11. Symmetries and dynamics

Lecture notes and problem set #6 (due Tuesday, October 3)

September 28

12. Fundamental domain

October 3

13. Lorenz to Van Gogh

Lecture notes and problem set #7 (due Thursday, October 12)

October 5

14. Diffusion confusion

October 9-10

Fall Break

October 12

15. Space groups

Lecture notes and problem set #8 (due Tuesday, October 17)

October 17

16. Continuous groups

Lecture notes and problem set #9 (due Tuesday, October 24)

October 19

17. Lie groups

October 24

18. Lie groups, matrix representations

Lecture notes and problem set #10 (due Thursday, November 2)

October 26

19. Lie groups, algebras

October 31

20. SO(2) and O(2) symmetry reduction

Lecture notes and problem set #11 (due Tuesday, November 7)

November 2

21. SU(2) and SO(3)

November 7

22. SO(4) = SU(2) x SU(2), Lorentz group

Lecture notes and problem set #12 (due Tuesday, November 14)

November 9

23. SO(1,3) spinors

November 14

24. Representations of simple algebras

Lecture notes and problem set #13 (due Tuesday, November 21)

November 16

25. Cartan construction of SU(3) irreps

November 21

26. Flavor SU(3). Gell-Mann - Okubo formula

Lecture notes and problem set #14 (due Tuesday, November 28)

November 28

27. Many particle systems

Lecture notes and problem set #15 (due Tuesday, December 5)

November 30

28. Young tableaux

December 5

29. Wigner 3- and 6-j coefficients

Lecture notes and problem set #16 (optional, not graded)

December 6

Reading period

Fancy footwork

Course Instructor Opinion Survey

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Overview of the course

The full set of lecture notes for the course (as of November 17, 2017), including an overview of what might be included into the final.

December 8

final exam 11:30am - 2:20pm

instructions

December 18

Grades due at noon