On complex infinite-dimensional Grassmann manifolds

DOI10.1007/s11785-008-0077-7zbMath1184.46069OpenAlexW1982972737MaRDI QIDQ844035

José E. Galé, Daniel Beltiţă

Publication date: 18 January 2010

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-008-0077-7

zbMATH Keywords

\(C^*\)-algebraGrassmann manifoldcomplexificationhypercomplex structurehomogeneous vector bundle

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) General theory of (C^*)-algebras (46L05) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Questions of holomorphy and infinite-dimensional manifolds (58B12) Infinite-dimensional manifolds (46T05)

Related Items (11)

The Poincaré space of a C*-algebra ⋮ Holomorphic spectral theory: a geometric approach ⋮ Geometric Perspectives on Reproducing Kernels ⋮ Differential algebras with Banach-algebra coefficients. I: From \(C^*\)-algebras to the \(K\)-theory of the spectral curve ⋮ Reproducing Kernels and Positivity of Vector Bundles in Infinite Dimensions ⋮ Linear connections for reproducing kernels on vector bundles ⋮ Holomorphic geometric models for representations of \(C^*\)-algebras ⋮ Universal objects in categories of reproducing kernels ⋮ Analytic bundle structure on the idempotent manifold ⋮ Coherent state map quantization in a Hermitian-like setting ⋮ Banach algebras associated to Lax pairs

This page was built for publication: On complex infinite-dimensional Grassmann manifolds