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The Order of the Antipode of Finite-Dimensional Hopf Algebra

✍ Scribed by Earl J. Taft

Book ID
123650622
Publisher
National Academy of Sciences
Year
1971
Tongue
English
Weight
510 KB
Volume
68
Category
Article
ISSN
0027-8424

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πŸ“œ SIMILAR VOLUMES

On the Even Powers of the Antipode of a
On the Even Powers of the Antipode of a Finite-Dimensional Hopf Algebra
✍ David E. Radford; Hans-JΓΌrgen Schneider πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 203 KB

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)

Representations of Finite-Dimensional Ho
Representations of Finite-Dimensional Hopf Algebras
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Let H denote a finite-dimensional Hopf algebra with antipode S over a field ‫މ‬ -. w We give a new proof of the fact, due to Oberst and Schneider Manuscripta Math. 8 Ε½ . x 1973 , 217᎐241 , that H is a symmetric algebra if and only if H is unimodular and S 2 is inner. If H is involutory and not sem