Homogeneous domains connected with factors of type \(\text{II}_ \infty\) and representations of infinite-dimensional groups

DOI10.1007/BF01075279zbMath0807.22008OpenAlexW1972464897MaRDI QIDQ1316824

R. S. Ismagilov

Publication date: 12 April 1994

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01075279

zbMATH Keywords

projective representationsgroup of diffeomorphismshomogeneous domainsdiffeomorphisms of the circleinfinite dimensional symplectic group

Mathematics Subject Classification ID

Loop groups and related constructions, group-theoretic treatment (22E67) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Group structures and generalizations on infinite-dimensional manifolds (58B25)

Cites Work

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• Unitary representations of some infinite dimensional groups
• Determinant theory in finite factors