- #1
koolmodee
- 51
- 0
The vector product in C³ is a three dimensional Lie algebra. Taking the standard basis (e_1,e_2,e_3) of C³, the brackets can be defined by the relations:
[e_1,e_2]=e_3 [e_1,e_3]=-e_2 [e_2,e_3]=e_1
That what my book says, but I don't get. But what does the author mean here with the standard basis of C³?
thank you
[e_1,e_2]=e_3 [e_1,e_3]=-e_2 [e_2,e_3]=e_1
That what my book says, but I don't get. But what does the author mean here with the standard basis of C³?
thank you