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Projective modules over classical Lie algebras of infinite rank in the parabolic category
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry. Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China.
Natl Cheng Kung Univ, Dept Math, Tainan 70101, Taiwan.
2020 (English)In: Journal of Pure and Applied Algebra, ISSN 0022-4049, E-ISSN 1873-1376, Vol. 224, no 1, p. 125-148Article in journal (Refereed) Published
Abstract [en]

We study the truncation functors and show the existence of projective cover with a finite Verma flag of each irreducible module in parabolic BGG category O over infinite rank Lie algebra of types a, b, c, d. Moreover, O is a Koszul category. As a consequence, the corresponding parabolic BGG category (O) over bar over infinite rank Lie superalgebra of types a, b, c, d through the super duality is also a Koszul category. 

Place, publisher, year, edition, pages
ELSEVIER , 2020. Vol. 224, no 1, p. 125-148
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Algebra and Logic
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URN: urn:nbn:se:uu:diva-396414DOI: 10.1016/j.jpaa.2019.04.018ISI: 000488994600008OAI: oai:DiVA.org:uu-396414DiVA, id: diva2:1368255
Available from: 2019-11-06 Created: 2019-11-06 Last updated: 2019-11-06Bibliographically approved

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Chen, Chih-Whi

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