Karmapas represent the Karma Kagyu school of Tibetan buddhism.
They have a monastic appearance and wear a black crown-like hat. They often sit like the historical buddha, with the right arm uncovered and the right hand calling Earth to witness, the left hand in the meditation gesture. The above figure has both hands touching the ground, like a shamarpa published in a previous post.
This hierarch holds a flaming jewel in his left hand. His shoulders are covered with a richly incised outer garment with a large floral design.
Another one – or maybe the same one – with a flaming jewel in his left hand.
This one holds a flaming jewel too but he his right hand does the discussion or teaching gesture. Unless there is an incision on the base with the name of the hierarch, it is often impossible to identify him.
The above character holds a group of three precious jewels or triratna in his left hand.