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arXiv · 1303.3780

Demazure descent and representations of reductive groups

Sergey Arkhipov·Tina Kanstrup
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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).

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Sergey Arkhipov, Tina Kanstrup. 2013-03-15. Demazure descent and representations of reductive groups. https://arxiv.org/abs/1303.3780

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