no. 2
On Harder-Narasimhan filtrations and their compatibility with tensor products
Cornut, Christophe1
1 CNRS, Sorbonne Université, Université Paris Diderot, Institut de Mathématiques de Jussieu-Paris Rive Gauche, IMJ-PRG, F-75005, Paris, France
Confluentes Mathematici, Tome 10 (2018) no. 2, pp. 3-49.

We attach buildings to modular lattices of finite length and show that they yield a natural framework for a metric version of the Harder-Narasimhan formalism. We establish a sufficient condition for the compatibility of Harder-Narasimhan filtrations with tensor products and verify our criterion in various cases coming from p-adic Hodge theory.

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Révisé le :
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DOI : 10.5802/cml.49
Classification : 06C05, 51E24, 53C23, 18D10, 20G15
Mots clés : Harder-Narasimhan filtrations, Quasi-Tannakian categories
Cornut, Christophe 1

1 CNRS, Sorbonne Université, Université Paris Diderot, Institut de Mathématiques de Jussieu-Paris Rive Gauche, IMJ-PRG, F-75005, Paris, France 
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Cornut, Christophe. On Harder-Narasimhan filtrations and their compatibility with tensor products. Confluentes Mathematici, Tome 10 (2018) no. 2, pp. 3-49. doi : 10.5802/cml.49. http://www.numdam.org/articles/10.5802/cml.49/

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