A Hopf algebra is called pointed if all its simple left (or right) comodules are one-dimensional. See for example this [question](https://mathoverflow.net/questions/86627/what-is-a-pointed-hopf-algebra) for a discussion.


Now every Hopf algebra $H$ admits a one-dimensional comodule, namely the trivial comodule for a field $\mathbb{K}$ where
$$
\delta: \mathbb{K} \to \mathbb{K} \otimes H, ~~~~ k \mapsto k \otimes 1\_H.
$$
Is there a name for a Hopf algebra that admits no one-dimensional comodule other than the trivial comodule?



Name for a Hopf algebra admitting no non-trivial 1-dimensional comodule
**Q:** *Is there a name for a Hopf algebra that admits no one-dimensional comodule other than the trivial comodule?*


**A:** Not in the literature, but if you would like to coin a specific name for such a Hopf algebra, at the opposite extreme of pointed, you could call it ***blunt***.


A class of *blunt Hopf algebras* is formed by the
Hopf algebras with free fusion semirings, see remark 1.3 in [arXiv:1212.4763](https://arxiv.org/abs/1212.4763). Section 1.4 contains several examples of compact quantum groups associated with these Hopf algebras.


