Can someone explain the Lie algebra concept to me?

[dimension10]

I've tried to understand this concept, but even the so-called "simplest" resources are too complicated to understand. Can anyone please explain this to me? Thanks in advance!

 

[dextercioby]

Some concept are easier to grasp than others. You need to <feel> what an algebra is. Get the definition and try to understand what the 2 operations on that set do. Then replace the product with the Lie product which becomes an internal operation with some properties which need to be <felt> again.

Then you'll understand what a Lie algebra is.