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Some homological properties of category O. III
Univ Ghent, Dept Math Anal, B-9000 Ghent, Belgium..
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.
2015 (English)In: Advances in Mathematics, ISSN 0001-8708, E-ISSN 1090-2082, Vol. 283, 204-231 p.Article in journal (Refereed) Published
Abstract [en]

We prove that thick category O associated to a semi-simple complex finite dimensional Lie algebra is extension full in the category of all modules. We also prove the weak Alexandru conjecture both for regular blocks of thick category O and the associated categories of Harish-Chandra bimodules, but disprove it for singular blocks.

Place, publisher, year, edition, pages
2015. Vol. 283, 204-231 p.
Keyword [en]
Extension fullness, BGG category O, Harish-Chandra bimodules, Homological dimension, Yoneda extensions
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-264024DOI: 10.1016/j.aim.2015.06.019ISI: 000361016700008OAI: oai:DiVA.org:uu-264024DiVA: diva2:859429
Funder
Swedish Research CouncilKnut and Alice Wallenberg FoundationThe Royal Swedish Academy of Sciences
Available from: 2015-10-07 Created: 2015-10-05 Last updated: 2017-12-01Bibliographically approved

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Mazorchuk, Volodymyr

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