- #1

- 63

- 0

- Thread starter cefarix
- Start date

- #1

- 63

- 0

- #2

- 5,697

- 981

Those are examples of "Lie Groups".

http://mathworld.wolfram.com/LieGroup.html

http://en.wikipedia.org/wiki/Lie_group

http://physics.harvard.edu/~dtlarson/tutorial05/ [Broken]

http://mathworld.wolfram.com/LieGroup.html

http://en.wikipedia.org/wiki/Lie_group

http://physics.harvard.edu/~dtlarson/tutorial05/ [Broken]

Last edited by a moderator:

- #3

HallsofIvy

Science Advisor

Homework Helper

- 41,833

- 956

O(3) is the "orthogonal group of order 3": 3 by 3 real matrices with determinant 1 or -1

U(1) is a bit puzzling! I would interpret U(n) as the "unitary group of order 3": n by n complex matrices with determinant 1 or -1. But "1 by 1 matrices" are just numbers. I guess U(1) would be the multiplicative group with members 1, -1, i, and -i!

- #4

- 334

- 1

U(1) corresponds to photon

SU(2) to W's and Z's

SU(3) to the gluons.

- Replies
- 4

- Views
- 2K

- Replies
- 5

- Views
- 2K

- Last Post

- Replies
- 5

- Views
- 6K

- Replies
- 1

- Views
- 781

- Replies
- 5

- Views
- 737

- Replies
- 1

- Views
- 1K

- Replies
- 13

- Views
- 5K

- Replies
- 11

- Views
- 2K

- Replies
- 1

- Views
- 5K

- Replies
- 2

- Views
- 902