On the centre of a transitive semisimple Lie group

DOI10.1007/BF00054574zbMath0685.57023WikidataQ115395270 ScholiaQ115395270MaRDI QIDQ1826171

Arkady L. Onishchik

Publication date: 1988

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

centerLie algebraorderranknoncompact homogeneous manifold with two endssemisimple Lie groups acting transitively and effectively on asemisimple Lie groups acting transitively and effectively on a simply connected compact homogeneous manifoldsimply connected compact homogeneous manifold

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Compact Lie groups of differentiable transformations (57S15) Semisimple Lie groups and their representations (22E46) Lie algebras of Lie groups (22E60) Noncompact Lie groups of transformations (57S20)

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Isometry groups of homogeneous spaces with positive sectional curvature, Holomorphic Chern-Simons-Witten theory: From 2D to 4D conformal field theories

Cites Work

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• Non-discrete uniform subgroups of semisimple Lie groups
• Les bouts des espaces homogènes de groupes de Lie