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.

Read more about Group Hopf Algebra: Definition, Hopf Algebra Structure, Symmetries of Group Actions, Hopf Module Algebras and The Hopf Smash Product

### Other articles related to "group hopf algebra, hopf algebra, hopf, algebra":

**Group Hopf Algebra**- Hopf Module Algebras and The Hopf Smash Product

... 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 ...

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