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- W2895979019 abstract "We approach the classification of Lie bialgebra structures on simple Lie algebras from the viewpoint of descent and non-abelian cohomology. We achieve a description of the problem in terms faithfully flat cohomology over an arbitrary ring over $mathbb{Q}$, and solve it for Drinfeld-Jimbo Lie bialgebras over fields of characteristic zero. We consider the classification up to isomorphism, as opposed to equivalence, and treat split and non-split Lie algebras alike. We moreover give a new interpretation of scalar multiples of Lie bialgebras hitherto studied using twisted Belavin-Drinfeld cohomology." @default.
- W2895979019 created "2018-10-26" @default.
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- W2895979019 date "2019-01-01" @default.
- W2895979019 modified "2023-10-14" @default.
- W2895979019 title "On the Classification of Lie Bialgebras by Cohomological Means" @default.
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- W2895979019 doi "https://doi.org/10.4171/dm/734" @default.
- W2895979019 hasPublicationYear "2019" @default.
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