Abstract
The trace of powers of the square of the antipode s2 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 s2m when s2m ≠ 1A. Finer properties of the antipode are related to this phenomenon. © 2002 Elsevier Science (USA).
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CITATION STYLE
APA
Radford, D. E., & Schneider, H. J. (2002). On the even powers of the antipode of a finite-dimensional Hopf algebra. Journal of Algebra, 251(1), 185–212. https://doi.org/10.1006/jabr.2001.9127
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