This approach was further developed by Langlands, for general reductive algebraic groups over global fields.

Many of the techniques can be extended to other reductive groups, which remains an area of active research.

G is a reductive algebraic group defined over F.

G is a connected, reductive algebraic group over an algebraically closed field.

In this section G will be a reductive group with connected center.

Let be a reductive group over a number field F and be a subgroup.

He is the author of the 2-volume treatise Real reductive groups.

Let G now be a connected reductive group over an algebraically closed field.

The Langlands classification and irreducible characters for real reductive groups.

In general, it is an interesting question when a symmetric pair of a reductive group over a local field has the Gelfand property.