The Order of the Antipode of Finite-Dimensional Hopf Algebra
Abstract
Examples of finite-dimensional Hopf algebras over a field, whose antipodes have arbitrary even orders ≥4 as mappings, are furnished. The dimension of the Hopf algebra is qn+1, where the antipode has order 2q, q ≥ 2, and n is an arbitrary positive integer. The algebras are not semisimple, and neither they nor their dual algebras are unimodular.
- Publication:
-
Proceedings of the National Academy of Science
- Pub Date:
- November 1971
- DOI:
- 10.1073/pnas.68.11.2631
- Bibcode:
- 1971PNAS...68.2631T