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On Harder-Narasimhan filtrations and their compatibility with tensor products

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 نشر من قبل Christophe Cornut
 تاريخ النشر 2017
  مجال البحث
والبحث باللغة English
 تأليف Christophe Cornut




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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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