Demazure descent and representations of reductive groups

Sergey Arkhipov, Tina Kanstrup

Published 2013-03-15, updated 2015-10-26Version 2

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 the derived category of Rep(B) and the descent category is equivalent to the derived category of Rep(G).