On Harder-Narasimhan filtrations and their compatibility with tensor products

Abstract : We attach buildings to modular lattices and use them to develop a metric approach to Harder-Narasimhan filtrations. Switching back to a categorical framework, we establish an abstract numerical criterion for the compatibility of these filtrations with tensor products. We finally verify our criterion in three cases, one of which is new.
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https://hal.archives-ouvertes.fr/hal-01494169
Contributeur : Christophe Cornut <>
Soumis le : mercredi 22 mars 2017 - 19:05:41
Dernière modification le : samedi 25 mars 2017 - 01:09:58

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  • HAL Id : hal-01494169, version 1
  • ARXIV : 1703.08047

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Christophe Cornut. On Harder-Narasimhan filtrations and their compatibility with tensor products. 2017. <hal-01494169>

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