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Demazure descent and representations of reductive groups

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Demazure descent and representations of reductive groups. / Arkhipov, Sergey; Kanstrup, Tina.

I: Algebra, Bind 2014, 823467, 15.02.2014.

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avisTidsskriftartikelForskningpeer review

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Arkhipov, Sergey ; Kanstrup, Tina. / Demazure descent and representations of reductive groups. I: Algebra. 2014 ; Bind 2014.

Bibtex

@article{2100abf447334b7d911ba4e15c0c5137,
title = "Demazure descent and representations of reductive groups",
abstract = "We introduce the notion of Demazure descent data on a triangulated category Cand define the descent category for such data. We illustrate the definition byour basic example. Let G be a reductive algebraic group with a Borel subgroupB. Demazure functors form Demazure descent data on the derived category ofRep(B) and the descent category is equivalent to the derived category ofRep(G).",
author = "Sergey Arkhipov and Tina Kanstrup",
year = "2014",
month = feb,
day = "15",
doi = "10.1155/2014/823467",
language = "English",
volume = "2014",
journal = "Algebra",
issn = "2314-4106",
publisher = "Hindawi Publishing Corporation",

}

RIS

TY - JOUR

T1 - Demazure descent and representations of reductive groups

AU - Arkhipov, Sergey

AU - Kanstrup, Tina

PY - 2014/2/15

Y1 - 2014/2/15

N2 - We introduce the notion of Demazure descent data on a triangulated category Cand define the descent category for such data. We illustrate the definition byour basic example. Let G be a reductive algebraic group with a Borel subgroupB. Demazure functors form Demazure descent data on the derived category ofRep(B) and the descent category is equivalent to the derived category ofRep(G).

AB - We introduce the notion of Demazure descent data on a triangulated category Cand define the descent category for such data. We illustrate the definition byour basic example. Let G be a reductive algebraic group with a Borel subgroupB. Demazure functors form Demazure descent data on the derived category ofRep(B) and the descent category is equivalent to the derived category ofRep(G).

U2 - 10.1155/2014/823467

DO - 10.1155/2014/823467

M3 - Journal article

VL - 2014

JO - Algebra

JF - Algebra

SN - 2314-4106

M1 - 823467

ER -