Tilting Modules in Truncated Categories
Vernadsky National Library of Ukraine
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Title |
Tilting Modules in Truncated Categories
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Creator |
Bennett, M.
Bianchi, A. |
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Description |
We begin the study of a tilting theory in certain truncated categories of modules G(Γ) for the current Lie algebra associated to a finite-dimensional complex simple Lie algebra, where Γ=P+×J, J is an interval in Z, and P+ is the set of dominant integral weights of the simple Lie algebra. We use this to put a tilting theory on the category G(Γ′) where Γ′=P′×J, where P′⊆P+ is saturated. Under certain natural conditions on Γ′, we note that G(Γ′) admits full tilting modules.
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Date |
2019-02-11T16:36:11Z
2019-02-11T16:36:11Z 2014 |
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Type |
Article
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Identifier |
Tilting Modules in Truncated Categories / M. Bennett, A. Bianchi // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 25 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 17B70; 17B65; 17B10; 17B55 DOI:10.3842/SIGMA.2014.030 http://dspace.nbuv.gov.ua/handle/123456789/146827 |
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Language |
en
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Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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Publisher |
Інститут математики НАН України
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