I read the two Wikipedia articles and it sounds like there is a relationship between the two, but I can't quite grasp it. They don't seem to be the same thing, but I can't demonstrate it in part because Lie coalgebra is defined using the exterior product, and Lie bialgebra is defined using tensor product. I'm confused :(
Can you tell me what is the difference between the two and how are they related? Is there a good text I could read?