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On the Serre Functor in the Category of Strict Polynomial Functors

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cris.lastimport.scopus2024-02-12T20:57:02Z
dc.abstract.enWe study a Serre functor in functor categories related to the category Pd of strict polynomial functors over a field of positive characteristic. Our main result shows that the derived category of the category of affine strict polynomial functors in some cases carries the structure of Calabi–Yau category. We also re-obtain the Poincaré duality formulas for Ext groups in Pd and construct a certain recollement diagram relating the derived categories of affine and ordinary strict polynomial functors.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorChałupnik, Marcin
dc.date.accessioned2024-01-25T15:49:06Z
dc.date.available2024-01-25T15:49:06Z
dc.date.copyright2022-10-21
dc.date.issued2022
dc.description.accesstimeAT_PUBLICATION
dc.description.financePublikacja bezkosztowa
dc.description.versionFINAL_PUBLISHED
dc.identifier.doi10.1007/S00031-022-09772-2
dc.identifier.issn1083-4362
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/114864
dc.identifier.weblinkhttps://link.springer.com/content/pdf/10.1007/s00031-022-09772-2.pdf
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofTransformation Groups
dc.relation.pages1-29
dc.rightsCC-BY
dc.sciencecloudnosend
dc.subject.enStrict polynomial functor
dc.subject.enSerre functor
dc.subject.enCalabi–Yau category
dc.titleOn the Serre Functor in the Category of Strict Polynomial Functors
dc.typeJournalArticle
dspace.entity.typePublication