Hopf algebras---Variant notions and reconstruction theorems

Details Hopf algebras---Variant notions and reconstruction theorems Hopf algebras---Variant notions and reconstruction theorems

2012-02-16

arxiv.org/abs/1202.3613v1

Mathematics

Rings and Algebras

Survey paper to appear in to appear in C. Heunen, M. Sadrzadeh, E. Grefenstette (eds.): Compositional methods in quantum physi

Scientific paper

Hopf algebras are closely related to monoidal categories. More precise, $k$-Hopf algebras can be characterized as those algebras whose category of finite dimensional representations is an autonomous monoidal category such that the forgetful functor to $k$-vectorspaces is a strict monoidal functor. This result is known as the Tannaka reconstruction theorem (for Hopf algebras). Because of the importance of both Hopf algebras in various fields, over the last last few decades, many generalizations have been defined. We will survey these different generalizations from the point of view of the Tannaka reconstruction theorem.

Affiliated with

Also associated with

No associations

Rating

Hopf algebras---Variant notions and reconstruction theorems 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 Hopf algebras---Variant notions and reconstruction theorems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hopf algebras---Variant notions and reconstruction theorems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-125761