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
Contributor : Christophe Cornut <>
Submitted on : Wednesday, March 22, 2017 - 7:05:41 PM
Last modification on : Thursday, April 4, 2019 - 1:28:58 AM
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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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