# Tag Archives: semisimple rank

## Highlights in Linear Algebraic Groups 11: Semisimple Rank 1

In order to understand the structure of reductive groups, we will first look at some "base cases" of groups that are quite small. These are the groups of so-called semisimple rank 1, which by definition are the algebraic groups $G$ such that $G/R(G)$ has rank 1, where $R(G)$ is the connected component […]