In mathematics, the group Hopf algebra of a given group is a certain construct related to the symmetries of group actions. Deformations of group Hopf algebras are foundational in the theory of quantum groups.
Other articles related to "group hopf algebra, hopf algebra, hopf, algebra":
... Let H be a Hopf algebra ... A (left) Hopf H-module algebra A is an algebra which is a (left) module over the algebra H such that and whenever, and in sumless Sweedler notation ... Obviously, as defined in the previous section turns into a left Hopf kG-module algebra, and hence allows us to consider the following construction ...
Famous quotes containing the words algebra and/or group:
“Poetry has become the higher algebra of metaphors.”
—José Ortega Y Gasset (18831955)
“The poet who speaks out of the deepest instincts of man will be heard. The poet who creates a myth beyond the power of man to realize is gagged at the peril of the group that binds him. He is the true revolutionary: he builds a new world.”
—Babette Deutsch (18951982)