| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4596934 | Journal of Pure and Applied Algebra | 2011 | 7 Pages |
Abstract
For a matrix coalgebra C over some field, we determine all small subcoalgebras of the free Hopf algebra on C, the free Hopf algebra with a bijective antipode on C, and the free Hopf algebra with antipode S satisfying on C for some fixed d. We use this information to find the endomorphisms of these free Hopf algebras, and to determine the centers of the categories of Hopf algebras, Hopf algebras with bijective antipode, and Hopf algebras with antipode of order dividing 2d.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
