Representation theory of the Hilbert-Lie group U(H)//2

DOI10.1215/S0012-7094-80-04720-1zbMath0462.22009WikidataQ115240206 ScholiaQ115240206MaRDI QIDQ1153248

Robert P. Boyer

Publication date: 1980

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Hilbert-Schmidt operatorsorbit methodHilbert-Lie grouphomogeneous line bundle

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Group structures and generalizations on infinite-dimensional manifolds (58B25)

Related Items (14)

Projective representations of the Hilbert Lie group \({\mathcal U}(H)_ 2\) via quasifree states on the CAR algebra ⋮ Measures on infinite dimensional Grassmann manifolds ⋮ The structure of Hilbert flag varieties ⋮ Characters of the infinite symplectic group -- a Riesz ring approach ⋮ Geometric representation theory for unitary groups of operator algebras ⋮ Representation theory of \(U_ 1(H)\) in the symmetric tensors ⋮ Coadjoint Orbits and the Beginnings of a Geometric Representation Theory ⋮ Holomorphic geometric models for representations of \(C^*\)-algebras ⋮ Polish groups of unitaries ⋮ Separable representations for automorphism groups of infinite symmetric spaces ⋮ Iwasawa decompositions of some infinite-dimensional Lie groups ⋮ Representations of the Infinite Unitary Group from Constrained Quantization ⋮ Infinite dimensional groups and quantum field theory ⋮ Holomorphic Realization of Unitary Representations of Banach–Lie Groups

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