### Generalising Hopf Algebras

#### Posted by David Corfield

To prepare for the appearance of categorified quantum groups it might be worth taking a look at Gizem Karaali’s On Hopf Algebras and Their Generalizations, in which she describes Hopf algebras and five attempts to generalise them. Much hangs on their representation categories.

Hopfish algebras are briefly touched on. As I noted in the Oct 21 entry of my old blog, according to Alan Weinstein and colleagues,

Posted at March 20, 2007 1:48 PM UTCWe call our new objects hopfish algebras, the suffix “oid” and prefixes like “quasi” and “pseudo” having already been appropriated for other uses. Also, our term retains a hint of the Poisson geometry which inspired some of our work.

## Re: Generalising Hopf Algebras

One correction needed: Gizem is female.