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).
Original languageEnglish
Article number823467
JournalAlgebra
Volume2014
Number of pages6
ISSN2314-4106
DOIs
Publication statusPublished - 15 Feb 2014

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