Abstract
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).
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).
| Originalsprog | Engelsk |
|---|---|
| Artikelnummer | 823467 |
| Tidsskrift | Algebra |
| Vol/bind | 2014 |
| Antal sider | 6 |
| ISSN | 2314-4106 |
| DOI | |
| Status | Udgivet - 15 feb. 2014 |