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 q(n+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.

authors

Taft EJ

doi

10.1073/pnas.68.11.2631

subject

Has Abstract

pub_date

1971-11-01 00:00:00

pages

2631-3

issue

11

eissn

0027-8424

issn

1091-6490

journal_volume

68

pub_type

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