𝔖 Bobbio Scriptorium
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There exist finite-dimensional Hopf algebras with antipodes of arbitrary even order

✍ Scribed by Earl J Taft; Robert Lee Wilson

Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
375 KB
Volume
62
Category
Article
ISSN
0021-8693

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📜 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-Jürgen Schneider 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 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)