Damian Sercombe

activity

20182021

collaborators

3 papers

math.GR2021

Maximal connected k-subgroups of maximal rank in connected reductive algebraic k-groups

Damian Sercombe

Let $k$ be any field and let $G$ be a connected reductive algebraic $k$ -group. Associated to $G$ is an invariant first studied by Satake and Tits that is called the index of $G$ (a…

math.RA2020

The length and depth of associative algebras

Damian Sercombe, Aner Shalev

Recently there has been considerable interest in studying the length and the depth of finite groups, algebraic groups and Lie groups. In this paper we introduce and study similar n…

math.GR2018

The length and depth of real algebraic groups

Damian Sercombe

Let $G$ be a connected real algebraic group. An unrefinable chain of $G$ is a chain of subgroups $G = G_{0} > G_{1} > ... > G_{t} = 1$ where each $G_{i}$ is a maximal connected real subgroup of $G_{…