Decompositions and complexifications of some infinite-dimensional homogeneous spaces

DOI10.1016/j.jfa.2014.03.006zbMath1319.58005arXiv1307.1138OpenAlexW2001404543MaRDI QIDQ2512387

Martin Miglioli

Publication date: 7 August 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.1138

zbMATH Keywords

flag manifoldStiefel manifoldcoadjoint orbithomogeneous spacecomplexificationBanach-Lie groupreductive structureFinsler structureoperator decompositionCorach-Porta-Recht decomposition

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Differential geometry of symmetric spaces (53C35) Group structures and generalizations on infinite-dimensional manifolds (58B25)

Related Items (1)

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

Cites Work

• Unnamed Item
• Unnamed Item
• Holomorphic geometric models for representations of \(C^*\)-algebras
• Banach Lie-Poisson spaces and reduction
• A Cartan-Hadamard theorem for Banach-Finsler manifolds
• Prescribing Ricci curvature on complexified symmetric spaces
• Conditional expectations and operator decompositions
• Classical Banach-Lie algebras and Banach-Lie groups of operators in Hilbert space
• A structure theorem for homogeneous spaces
• On Covariant Fiberings of Klein Spaces
• On the projection of norm one in $W^ *$-algebras
• Manifolds of semi-negative curvature
• A Geometric Interpretation of Segal's Inequality || e X + Y || ≤ || e X/2 e Y e X/2 ||
• Representation theory and convexity

This page was built for publication: Decompositions and complexifications of some infinite-dimensional homogeneous spaces