Highest weight categories and recollements
Annales de l'Institut Fourier, Volume 67 (2017) no. 6, pp. 2679-2701.

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.

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.

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DOI: 10.5802/aif.3147
Classification: 16G10, 16D90, 16E65, 18E30
Keywords: Highest weight category, quasi-hereditary algebra, recollement, exceptional sequence, derived category
Krause, Henning 1

1 Fakultät für Mathematik Universität Bielefeld 33501 Bielefeld (Germany)
License: CC-BY-ND 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
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Krause, Henning. Highest weight categories and recollements. Annales de l'Institut Fourier, Volume 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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