- #1

- 241

- 6

## Main Question or Discussion Point

The Lie Algebra of SO(1,3) is similar with that of SU(2)+SU(2) or of SO(3)+SO(3). But how do we know SO(1,3) really decomposite to SU(2)+SU(2)?

- I
- Thread starter fxdung
- Start date

- #1

- 241

- 6

The Lie Algebra of SO(1,3) is similar with that of SU(2)+SU(2) or of SO(3)+SO(3). But how do we know SO(1,3) really decomposite to SU(2)+SU(2)?

- #2

- 7,223

- 3,112

To prove this you exhibit in one of the Lie algebras a basis satisfying the commutation rules of the other. Since complex coefficients appear, complexification is necessary.

- Last Post

- Replies
- 2

- Views
- 829

- Last Post

- Replies
- 12

- Views
- 11K

- Last Post

- Replies
- 2

- Views
- 511

- Last Post

- Replies
- 11

- Views
- 7K

- Last Post

- Replies
- 6

- Views
- 3K

- Replies
- 4

- Views
- 1K

- Replies
- 8

- Views
- 2K

- Last Post

- Replies
- 2

- Views
- 2K

- Last Post

- Replies
- 3

- Views
- 603

- Last Post

- Replies
- 1

- Views
- 1K