On Hopf Algebras and Their Generalizations

Details On Hopf Algebras and Their Generalizations On Hopf Algebras and Their Generalizations

2007-03-15

arxiv.org/abs/math/0703441v2

Revised and final version at: Comm. Algebra 36 (2008), pp.4341-4367.

Mathematics

Quantum Algebra

Scientific paper

We survey Hopf algebras and their generalizations. In particular, we compare and contrast three well-studied generalizations (quasi-Hopf algebras, weak Hopf algebras, and Hopf algebroids), and two newer ones (Hopf monads and hopfish algebras). Each of these notions was originally introduced for a specific purpose within a particular context; our discussion favors applicability to the theory of dynamical quantum groups. Throughout the note, we provide several definitions and examples in order to make this exposition accessible to readers with differing backgrounds.

Affiliated with

Also associated with

No associations

Rating

On Hopf Algebras and Their Generalizations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On Hopf Algebras and Their Generalizations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Hopf Algebras and Their Generalizations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-364025