Detecting animation ending

I know this has been discussed here before, but I seem to be "search-challenged" at the moment.

I have a script where I would like to know when a particular animation has ended.

I know that I can poll llGetAnimationList(). But it returns a list of keys. What I have is an animation in the scripted object. So all I have is the name. llKey2Name() doesn't work on animations. llGetInventoryKey() won't work because the animation is no transfer. I wasn't able to get llGetObjectDetails(<key>,OBJECT_NAME) to work on the animation list either.

Is there something I am missing?

Not missing anything. If you are OK with hard-coding the UUID, you can play with Advanced->Character->Animation Info to figure it out. The built-in ones will be shown by name but user-made ones by UUID, so they stick out pretty well in that display.

known caveat
http://wiki.secondlife.com/wiki/LlGetAnimationList
"There is no internal mechanism to get the name of the animations playing."
so you cant compare without permissions.