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A bialgebra equipped with an antipode.
For a fixed bialgebra structure, an antipode is unique if it exists; Hopf algebra status is therefore an existence property, not a free choice of extra map.
wp-hopf-algebranlab-hopf-algebrastacks-algebra-textEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Select bialgebras for which a convolution inverse of the identity exists; the antipode is then unique.
Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.
wp-hopf-algebranlab-hopf-algebrastacks-algebra-textEach relation below starts at this concept.
No direct relations are authored in this direction.