# Thread: why do we call a vector field - left invariant?

1. ## why do we call a vector field - left invariant?

What does it mean a left invariant vector field? What properties does this vector field have?

thank you

2. Originally Posted by Ackbeet
google has very poor explanaition of it. I have already done it. I need to know how can explain it to someone who did not have very advanced mathematics.

3. Originally Posted by rayman
google has very poor explanaition of it. I have already done it. I need to know how can explain it to someone who did not have very advanced mathematics.
Oh. That's a very different question from the one in the OP - it would have been better to ask this question first. Then I, who know nothing whatsoever about left invariant vector fields, would have not piped up at all. You need an expert like Drexel28 or maybe tonio to answer this.

4. well I found some explanaition which sounds quite okej but I am not sure if it is correct....

5. Originally Posted by rayman
What does it mean a left invariant vector field? What properties does this vector field have?

thank you
Because it is invariant under the left action of the group.

6. yes I know, but that does not explain what happens then, how to interpret it physically?