Rachel Pengelly

activity

20212024

collaborators

3 papers

math.RT2024

Monogamous subvarieties of the nilpotent cone

Simon M. Goodwin, Rachel Pengelly, David I. Stewart +1

Let $G$ be a reductive algebraic group over an algebraically closed field $k$ of prime characteristic not $2$ , whose Lie algebra is denoted $g$ . We call a subvariety $\m…

math.GR2023

Unicity of A1-subgroups associated to unipotent elements in simple algebraic groups

Rachel Pengelly, Donna M. Testerman

Let k be an algebraically closed field of positive characteristic and G a simple algebraic group defined over k. Under the assumption that the characteristic is a good prime for G,…

math.RT2021

On $sl_{2}$ -triples for classical algebraic groups in positive characteristic

Simon M. Goodwin, Rachel Pengelly

Let $k$ be an algebraically closed field of characteristic $p > 2$ , let $n \in Z_{> 0}$ , and take $G$ to be one of the classical algebraic groups $GL_{n} (k)$ , $\mathr…

Monogamous subvarieties of the nilpotent cone

Unicity of A1-subgroups associated to unipotent elements in simple algebraic groups

On sl2​-triples for classical algebraic groups in positive characteristic

On $sl_{2}$ -triples for classical algebraic groups in positive characteristic