# Group like elements of Universal enveloping algebras

1. Jan 12, 2012

### MrQG

I'm working with universal enveloping algebras, specifically U(sl(2)). Does anybody know of a nice way of determining what the group like elements are. Of course, one could go a direct route and compare the coproduct Δ(v), v$\in$ U(sl(2)), directly with the desired outcome v$\otimes$v, but the resulting equation is not pretty at all.

2. Jan 13, 2012

### MrQG

Anyone? Any thoughts?