Mostow's decomposition theorem for \(L^\ast\)-groups and applications to affine coadjoint orbits and stable manifolds

DOI10.1016/j.geomphys.2023.104881arXivmath-ph/0605039OpenAlexW1593716796WikidataQ122944506 ScholiaQ122944506MaRDI QIDQ6115698

Alice Barbara Tumpach

Publication date: 10 August 2023

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0605039

zbMATH Keywords

moment mapsreductive symmetric spacesco-adjoint orbitsdecompositions of Lie groupspositive-definite Hilbert-Schmidt operators

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) General properties and structure of complex Lie groups (22E10)

Cites Work

• Classification of the simple separable real L\(^*\)-algebras
• A Cartan-Hadamard theorem for Banach-Finsler manifolds
• Conditional expectations and operator decompositions
• On Nahm's equations and the Poisson structure of semi-simple complex Lie algebras
• Nonpositive curvature: A geometrical approach to Hilbert-Schmidt operators
• Decompositions and complexifications of some infinite-dimensional homogeneous spaces
• Simple \(L^*\)-algebras of classical type
• Hilbert Space Methods in the Theory of Lie Algebras
• Manifolds of semi-negative curvature
• Geometric Invariant Theory
• Symmetric spaces with convex metrics
• NONPOSITIVELY CURVED METRIC IN THE POSITIVE CONE OF A FINITE VON NEUMANN ALGEBRA
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