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Demazure descent and representations of reductive groups

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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).
OriginalsprogEngelsk
Artikelnummer823467
TidsskriftAlgebra
Vol/bind2014
Antal sider6
ISSN2314-4106
DOI
StatusUdgivet - 15 feb. 2014

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