Primitive cohomology of a Hopf algebra is defined by using a modification of the cobar
construction of the underlying coalgebra. Among many of its applications, two classifications …

Let p be a prime, and k be an algebraically closed field of characteristic p. In this paper, we
provide the classification of connected Hopf algebras of dimension p 3, except for the case …

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 …

We prove that a Hopf algebra of prime dimension p over an algebraically closed field, whose
characteristic is equal to p, is either a group algebra or a restricted universal enveloping …

Let p be a prime. We complete the classification of pointed Hopf algebras of dimension p 2
over an algebraically closed field k. When char k≠ p, our result is the same as the well …

We prove that every finite symmetric integral tensor category with the Chevalley property
over an algebraically closed field of characteristic admits a symmetric fiber functor to the …

We analyze the structure of simply-connected Enriques surfaces in characteristic two whose
K3-like coverings are normal, building on the work of Ekedahl, Hyland and Shepherd …

In this paper, working over an algebraically closed field k of prime characteristic p, we
introduce a concept, called Primitive Deformation, to provide a structured technique to …

Let $\Bbbk $ be an algebraically closed field of characteristic $ p> 0$. We study the general
structures of $ p^ n $-dimensional Hopf algebras over $\Bbbk $ with $ p^{n-1} $ group-like …

We analyze the structure of simply-connected Enriques surface in characteristic two whose
K3-like covering is normal, building on the work of Ekedahl, Hyland and Shepherd-Barron …