Demazure Descent and Representations of Reductive Groups

Abstract EN

We introduce the notion of Demazure descent data on a triangulated category C and define the descent category for such data.

We illustrate the definition by our basic example.

Let G be a reductive algebraic group with a Borel subgroup B.

Demazure functors form Demazure descent data on DbRepB and the descent category is equivalent to DbRepG.