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Complete reducibility for Lie subalgebras and semisimplification

dc.contributor.authorBate, Michael
dc.contributor.authorBöhm, Sören
dc.contributor.authorMartin, Benjamin
dc.contributor.authorRoehrle, Gerhard
dc.contributor.authorVoggesberger, Laura
dc.contributor.institutionUniversity of Aberdeen.Mathematical Scienceen
dc.date.accessioned2023-05-16T13:37:00Z
dc.date.available2023-05-16T13:37:00Z
dc.date.issued2023-12-01
dc.descriptionAcknowledgments: The research of this work was supported in part by the DFG (Grant #RO 1072/22-1 (project number: 498503969) to G. R¨ohrle). We thank the referees for their careful reading of the paper and their helpful comments clarifying some points. We are especially grateful to one referee for providing us with Proposition 4.4, which is a substantial improvement on a result from the original version. Funding Open Access funding enabled and organized by Projekt DEAL.en
dc.description.statusPeer revieweden
dc.format.extent27
dc.format.extent334776
dc.format.extent486566
dc.identifier282085611
dc.identifier80f26220-21d5-48c9-b07f-08282004aa76
dc.identifier85178477488
dc.identifier.citationBate, M, Böhm, S, Martin, B, Roehrle, G & Voggesberger, L 2023, 'Complete reducibility for Lie subalgebras and semisimplification', European Journal of Mathematics, vol. 9, 116. https://doi.org/10.1007/s40879-023-00710-4en
dc.identifier.doi10.1007/s40879-023-00710-4
dc.identifier.issn2199-6768
dc.identifier.otherArXiv: http://arxiv.org/abs/2305.00841v1
dc.identifier.otherORCID: /0000-0002-6670-0857/work/148048309
dc.identifier.urihttps://hdl.handle.net/2164/20734
dc.identifier.urlhttp://arxiv.org/abs/2305.00841v1en
dc.identifier.vol9en
dc.language.isoeng
dc.relation.ispartofEuropean Journal of Mathematicsen
dc.subjectSemisimplificationen
dc.subjectG-complete reducibilityen
dc.subjectgeometric invariant theoryen
dc.subjectrationalityen
dc.subjectcocharacter-closed orbitsen
dc.subjectdegeneration of G-orbitsen
dc.subjectQA Mathematicsen
dc.subject.lccQAen
dc.titleComplete reducibility for Lie subalgebras and semisimplificationen
dc.typeJournal articleen

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