[Catégories de plus haut poids et recollements]
Nous donnons plusieurs descriptions équivalentes des catégories de plus haut poids au moyen de recollements de catégories abéliennes. En outre, nous expliquons la relation entre suites d’objets standards et exceptionnels.
We provide several equivalent descriptions of a highest weight category using recollements of abelian categories. Also, we explain the connection between sequences of standard and exceptional objects.
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Keywords: Highest weight category, quasi-hereditary algebra, recollement, exceptional sequence, derived category
Mot clés : Catégorie de plus haut poids, algèbre quasi-héréditaire, recollement, suite exceptionelle, catégorie dérivée
Krause, Henning 1
CC-BY-ND 4.0
@article{AIF_2017__67_6_2679_0,
author = {Krause, Henning},
title = {Highest weight categories and recollements},
journal = {Annales de l'Institut Fourier},
pages = {2679--2701},
publisher = {Association des Annales de l{\textquoteright}institut Fourier},
volume = {67},
number = {6},
year = {2017},
doi = {10.5802/aif.3147},
language = {en},
url = {https://aif.centre-mersenne.org/articles/10.5802/aif.3147/}
}
TY - JOUR AU - Krause, Henning TI - Highest weight categories and recollements JO - Annales de l'Institut Fourier PY - 2017 SP - 2679 EP - 2701 VL - 67 IS - 6 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.3147/ DO - 10.5802/aif.3147 LA - en ID - AIF_2017__67_6_2679_0 ER -
%0 Journal Article %A Krause, Henning %T Highest weight categories and recollements %J Annales de l'Institut Fourier %D 2017 %P 2679-2701 %V 67 %N 6 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.3147/ %R 10.5802/aif.3147 %G en %F AIF_2017__67_6_2679_0
Krause, Henning. Highest weight categories and recollements. Annales de l'Institut Fourier, Tome 67 (2017) no. 6, pp. 2679-2701. doi : 10.5802/aif.3147. https://aif.centre-mersenne.org/articles/10.5802/aif.3147/
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