Isometric embeddings of infinite-dimensional Grassmannians

DOI10.1134/S1560354711030099zbMath1253.37072OpenAlexW1972330284MaRDI QIDQ691182

Emma Previato, Mauro Spera

Publication date: 30 November 2012

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354711030099

zbMATH Keywords

Calabi's diastasis functionWeil reciprocity\(\tau \)-functioncanonical anticommutation relationsuniversal Grassmann manifold

Mathematics Subject Classification ID

Applications of operator algebras to the sciences (47L90) Loop groups and related constructions, group-theoretic treatment (22E67) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Rigidity results (53C24)

Related Items

The Clifford algebra bundle on loop space, Unnamed Item, On Some Geometric Aspects of Coherent States, Birkhoff Strata of Sato Grassmannian and Algebraic Curves, Coherent state map quantization in a Hermitian-like setting

Cites Work

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• Automorphisms of prime order of smooth cubic \(n\)-folds
• Solitons and infinite dimensional Lie algebras
• Loop groups and equations of KdV type
• Measures on infinite dimensional Grassmann manifolds
• Collisions of Calogero-Moser particles and an adelic Grassmannian (with an appendix by I. G. Macdonald)
• On automorphism groups of compact Kähler manifolds
• Plücker embedding of the Hilbert space Grassmannian and the CAR algebra
• Differential geometry of complex projective space curves
• Representations of anticommutation relations and Bogolioubov transformations
• Stable bundles of rank 2 and odd degree over a curve of genus 2
• On quasifree states of CAR and Bogoliubov automorphisms
• Isometric imbedding of complex manifolds
• AUTOMORPHISMS OF BANACH MANIFOLDS ASSOCIATED WITH THE KP-EQUATION
• Determinants, Pfaffians and Quasi-Free Representations of the CAR Algebra
• REMARKS ON CALABI'S DIASTASIS FUNCTION AND COHERENT STATES
• Quantization of Kahler Manifolds. II