In mathematics a **braided Hopf algebra** is a Hopf algebra in a braided monoidal category. The most common braided Hopf algebras are objects in a Yetter–Drinfeld category of a Hopf algebra *H*, particurlarly the Nichols algebra of a braided vectorspace in that category.

*The notion should not be confused with quasitriangular Hopf algebra.*

Read more about Braided Hopf Algebra: Definition, Examples, Radford's Biproduct

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

**Braided Hopf Algebra**- Radford's Biproduct

... For any

**braided Hopf algebra**R in there exists a natural

**Hopf algebra**which contains R as a subalgebra and H as a

**Hopf**subalgebra ... It is called Radford's biproduct, named after its discoverer, the

**Hopf**algebraist David Radford ... The

**algebra**structure of is given by where, (Sweedler notation) is the coproduct of, and is the left action of H on R ...

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