Adam R. Thomas

activity

20132026

most citedSimple Irreducible Subgroups of Exceptional Algebraic Groups

19 citations · 31 across the 9 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.RT2021

Compact Lie Groups and Complex Reductive Groups

John Jones, Dmitriy Rumynin, Adam Thomas

We show that the categories of compact Lie groups and complex reductive groups (not necessarily connected) are homotopy equivalent topological categories. In other words, the corre…

math.GR2021

Representatives for unipotent classes and nilpotent orbits

Mikko Korhonen, David I. Stewart, Adam R. Thomas

Let $G$ be a simple algebraic group over an algebraically closed field $k$ of characteristic $p$ . The classification of the conjugacy classes of unipotent elements of $G (k)$ and ni…

math.GR2021★ 1 cited

A New Maximal Subgroup of $E_{8}$ in Characteristic $3$

David A. Craven, David I. Stewart, Adam R. Thomas

We prove the existence and uniqueness of a new maximal subgroup of the algebraic group of type $E_{8}$ in characteristic $3$ . This has type $F_{4}$ , and was missing from previous lists…

Compact Lie Groups and Complex Reductive Groups

Representatives for unipotent classes and nilpotent orbits

A New Maximal Subgroup of E8​ in Characteristic 3

A New Maximal Subgroup of $E_{8}$ in Characteristic $3$