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On the Even Powers of the Antipode of a Finite-Dimensional Hopf Algebra

✍ Scribed by David E. Radford; Hans-Jürgen Schneider

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
203 KB
Volume
251
Category
Article
ISSN
0021-8693

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✦ Synopsis

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)

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