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involutive Hopf algebra

Contents

Contents

Definition

A Hopf algebra is called involutive (or involutory, e.g. Kuperberg 91, Virelizier 02, Sec. 1.7) if its antipode is an involution.

Since the antipode of a Hopf algebra is necessarily an anti-homomorphism of the underlying associative algebra-structure (by this Prop.), an involutive Hopf algebra is in particular a star algebra.

Examples

References

Created on May 10, 2021 at 14:10:18. See the history of this page for a list of all contributions to it.