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Some homological properties of category O, VII
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra, Logic and Representation Theory.ORCID iD: 0000-0002-4633-6218
2025 (English)In: Advances in Mathematics, ISSN 0001-8708, E-ISSN 1090-2082, Vol. 468, article id 110201Article in journal (Refereed) Published
Abstract [en]

We describe Calabi-Yau objects in the regular block of the (parabolic) BGG category O associated to a semi-simple finite dimensional complex Lie algebra. Each such object comes with a natural transformation from the Serre functor to a shifted identity whose evaluation at that object is an isomorphism.
Place, publisher, year, edition, pages
Elsevier, 2025. Vol. 468, article id 110201
Keywords [en]
Category O, Serre functor, a-function, Natural transformation, Translation functor
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:uu:diva-553418DOI: 10.1016/j.aim.2025.110201ISI: 001446755100001OAI: oai:DiVA.org:uu-553418DiVA, id: diva2:1952046
Available from: 2025-04-14 Created: 2025-04-14 Last updated: 2025-04-14Bibliographically approved

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Mazorchuk, Volodymyr
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CiteExportLink to record
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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
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Output format
  • html
  • text
  • asciidoc
  • rtf
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