Group like elements of Universal enveloping algebras

MrQG · Jan 12, 2012

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[itex]\in[/itex] U(sl(2)), directly with the desired outcome v[itex]\otimes[/itex]v, but the resulting equation is not pretty at all.

MrQG · Jan 13, 2012

Anyone? Any thoughts?

Group like elements of Universal enveloping algebras

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Group like elements of Universal enveloping algebras

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