Science Forums 2

[sanctus]

First of all thanks very much.

I already planned to take the option course on groupe theory, but it will be held only in the next semester (when the QM course is already over).

Actually I have got a specific question, if f you could answer to that it would be just great!
What is the connection between the Lie Algebra and the Lie group. We defined the Lie algebra as the {M¦matrix n x n so that exp (tm) belongs to G for all t belonging to R} where G is the lie group. I really don't see the connection with for example SO(3) or SU(2). I mean usaualla an algebra is a vectorial space with an addition and a multiplication, but where there is a multiplication an an addition in this Lie algebra I've got no idea.

Thanks