Tilting modules for the nonrestricted representations of modular Lie algebra

LI Yiyang

doi:10.3969/j.issn.1000-5641.2021.03.003

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May 2021

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LI Yiyang. Tilting modules for the nonrestricted representations of modular Lie algebra[J]. Journal of East China Normal University (Natural Sciences), 2021, (3): 17-22, 46. doi: 10.3969/j.issn.1000-5641.2021.03.003

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LI Yiyang. Tilting modules for the nonrestricted representations of modular Lie algebra[J]. Journal of East China Normal University (Natural Sciences), 2021, (3): 17-22, 46. doi: 10.3969/j.issn.1000-5641.2021.03.003

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Tilting modules for the nonrestricted representations of modular Lie algebra

doi: 10.3969/j.issn.1000-5641.2021.03.003

LI Yiyang

School of Mathematics, Physics, and Statistics, Shanghai University of Engineering Science, Shanghai　201620, China

Received Date: 2020-01-17
Publish Date: 2021-05-01

Abstract

Abstract

Let $ G $ be a connected reductive algebraic group over an algebraically closed field $ k $ of prime characteristic $ p $, and let$ {\frak {g}} = {\rm{Lie}}(G) $, $U_{\chi}({\frak {g}}) $ be the reduced enveloping algebra. In this paper, when $ p $-character $ \chi $ has the standard Levi form, we prove that a $ U_{\chi}({\frak {g}}) $-module $ Q $ is a tilting module if and only if it is projective.
- tilting module,
- standard Levi form,
- projective module,
- nonrestricted representation

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References(12)

References

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