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Results tagged with hopf-algebras
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user 123432
A Hopf algebra is a vector space $H$ over a field $k$ endowed with an associative product $\times:H\otimes_k H\to H$ and a coassociative coproduct $\Delta:H\to H\otimes_k H$ which is a morphism of algebras. Unit $1:k\to H$, counit $\epsilon:H\to k$ and antipode $S:H\to H$ are also required. Such a structure exists on the group algebra $k G$ of a finite group $G$.
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Duality in Hopf algebras and Milnor-Moore paper
I am going through Milnor and Moore - On the structure of Hopf algebras (MSN) (I have already posted one question on that, another one is coming).
My question is about Proposition 4.9, more specifica …
- 1,759
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Transgressive elements in Hopf algebra spectral sequence
Let $E^r$ be a commutative Hopf algebra homology spectral sequence over $\mathbb{Z}/p$, i.e. such that every sheet is a commutative Hopf algebra.
I am struggling with proving (probably simple) fact …
- 1,759
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"Free" Hopf algebra
I am reading through the Dyer and Lashof's paper "Homology of Iterated Loop Spaces". They are quoting the following theorem:
If $A$ is a connected, free, associative, commutative, primitively generat …
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