Antipodes and group-likes in finite Hopf algebras
β Scribed by William C Waterhouse
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 310 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Some finiteness conditions for infinite dimensional coalgebras, particularly right or left semiperfect coalgebras, or co-Frobenius Hopf algebras are studied. As well, examples of co-Frobenius Hopf algebras are constructed via a Hopf algebra structure on an Ore extension of a group algebra, and it is
The trace of powers of the square of the antipode s 2 of a finite-dimensional Hopf algebra A over a field k is studied. It is shown in many cases that the trace function vanishes on s 2m when s 2m = 1 A . Finer properties of the antipode are related to this phenomenon.  2002 Elsevier Science (USA)