We introduce the space P (G) of abelian p-points of a finite group scheme over an
algebraically closed field of characteristic p 0. We construct a homeomorphism ΨG: P (G)→ …

We introduce support varieties for rational representations of a linear algebraic group G of
exponential type over an algebraically closed field k of characteristic p> 0. These varieties …

Let G be a simple algebraic group over an algebraically closed field of characteristic p, and
assume that p is a separably good prime for G. Let P be a parabolic subgroup whose …

Let G be a classical simple algebraic group over an algebraically closed field k of
characteristic p> 0, and denote by G (r) the r-th Frobenius kernel of G. We show that for p …

Let G be a reductive algebraic group over an algebraically closed field k of characteristic p>
0, and assume p is good for G. Let P be a parabolic subgroup with unipotent radical U. For …

Let G(\mathbbF_q) be a finite Chevalley group defined over the field of q= pr elements, and
k be an algebraically closed field of characteristic p> 0. A fundamental open and elusive …

Suppose $ G $ is a simple algebraic group defined over an algebraically closed field of
good characteristic $ p $. In 2018 Korhonen showed that if $ H $ is a connected reductive …

We fix a prime p and consider a connected reductive algebraic group G over a perfect field k
which is defined over 𝔽p. Let M be a finite-dimensional rational G-module M, a comodule for …

We investigate rational G-modules M for a linear algebraic group G over an algebraically
closed field k of characteristic p> 0 using filtrations by sub-coalgebras of the coordinate …

Let H be a linear algebraic group over an algebraically closed field of characteristic p> 0. We
prove that any “exponential map” for H induces a bijection between the variety of r-tuples of …