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Some homological properties of category O. IV
Univ Sydney, Sch Math & Stat;Univ Ghent, Dept Math Anal.
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.ORCID iD: 0000-0002-4633-6218
2017 (English)In: Forum mathematicum, ISSN 0933-7741, E-ISSN 1435-5337, Vol. 29, no 5, 1083-1124 p.Article in journal (Refereed) Published
Abstract [en]

We study projective dimension and graded length of structural modules in parabolic-singular blocks of the BGG category O. Some of these are calculated explicitly, others are expressed in terms of two functions. We also obtain several partial results and estimates for these two functions and relate them to monotonicity properties for quasi-hereditary algebras. The results are then applied to study blocks of O in the context of Guichardet categories, in particular, we show that blocks of O are not always weakly Guichardet.

Place, publisher, year, edition, pages
2017. Vol. 29, no 5, 1083-1124 p.
Keyword [en]
Projective dimension, graded length, quasi-hereditary algebra, parabolic category O
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-334924DOI: 10.1515/forum-2016-0108ISI: 000408650800005OAI: oai:DiVA.org:uu-334924DiVA: diva2:1161320
Funder
Swedish Research Council
Available from: 2017-11-29 Created: 2017-11-29 Last updated: 2017-11-29Bibliographically approved

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Mazorchuk, Volodymyr

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