Iterated Hopf Ore extensions (IHOEs) over an algebraically closed base field k of positive
characteristic p are studied. We show that every IHOE over k satisfies a polynomial identity …

Let $ H $ be a pointed Hopf algebra with abelian coradical. Let $ A\supseteq B $ be left (or
right) coideal subalgebras of $ H $ that contain the coradical of $ H $. We show that $ A …

We present new examples of finite-dimensional Nichols algebras over fields of positive
characteristic. The corresponding braided vector spaces are not of diagonal type, admit a …

The Adams operators on a Hopf algebra $ H $ are the convolution powers of the identity
map of $ H $. They are also called Hopf powers or Sweedler powers. It is a natural family of …

We focus on the classification of pointed p 3-dimensional Hopf algebras H over any
algebraically closed field of prime characteristic p> 0. In particular, we consider certain …

Let 𝕜 \Bbbk be a base field of characteristic p> 0 and let U be the restricted enveloping
algebra of a 2-dimensional nonabelian restricted Lie algebra. We classify all inner-faithful U …

The notion of n-th indicator for a finite-dimensional Hopf algebra was introduced by Kashina,
Montgomery, and Ng as invariance of the tensor category of its representations. In this short …

In support variety theory, representations of a finite dimensional (Hopf) algebra A can be
studied geometrically by associating any representation of A to an algebraic variety using …

Let 𝕜 be an algebraically closed field. We give a complete classification of non-connected
pointed Hopf algebras of dimension 16 with char 𝕜= 2 that are generated by group-like …

Let k be an algebraically closed field of characteristic p. We give the complete classification
of pointed Hopf algebras over k of dimension p 2 q for a prime number q. The result shows …