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- W2951800980 abstract "We define the concept of emph{companion automorphism} of a Hopf algebra $H$ as an automorphism $sigma:H rightarrow H$: $sigma^2=S^2$ --where $S$ denotes the antipode--. A Hopf algebra is said to be emph{almost involutive} (AI) if it admits a companion automorphism that can be viewed as a special additional symmetry. We present examples and study some of the basic properties and constructions of AI-Hopf algebras centering the attention in the finite dimensional case. In particular we show that within the family of Hopf algebras of dimension smaller or equal than 15, only in dimension eight and twelve, there are non almost involutive Hopf algebras." @default.
- W2951800980 created "2019-06-27" @default.
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- W2951800980 date "2013-11-28" @default.
- W2951800980 modified "2023-09-27" @default.
- W2951800980 title "Almost involutive Hopf algebras" @default.
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