Table of Contents
Volume 2014, Article ID 823467, 6 pages
Research Article

Demazure Descent and Representations of Reductive Groups

1Matematisk Institut, Aarhus Universitet, Ny Munkegade, 8000 Åarhus C, Denmark
2Centre for Quantum Geometry of Moduli Spaces, Aarhus Universitet, Ny Munkegade, 8000 Åarhus C, Denmark

Received 1 November 2013; Accepted 21 January 2014; Published 25 May 2014

Academic Editor: Sorin Dascalescu

Copyright © 2014 Sergey Arkhipov and Tina Kanstrup. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We introduce the notion of Demazure descent data on a triangulated category and define the descent category for such data. We illustrate the definition by our basic example. Let be a reductive algebraic group with a Borel subgroup . Demazure functors form Demazure descent data on and the descent category is equivalent to .