Stochastic processes on geometric loop groups, diffeomorphism groups of connected manifolds, and associated unitary representations

DOI10.1007/s10958-007-0044-2zbMath1153.60031OpenAlexW2001135827MaRDI QIDQ941930

Sergey V. Ludkovsky

Publication date: 3 September 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-007-0044-2

zbMATH Keywords

diffeomorphismunitary representationshomeomorphismconnected manifoldsLoop groups

Mathematics Subject Classification ID

Loop groups and related constructions, group-theoretic treatment (22E67) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic integrals (60H05)

Related Items

Schauder bases in Dirac modules over quaternions, Noncommutative, quasi-conformal integral transforms over quaternions and octonions, Integral operators for nonlocally compact group modules, Quasi-invariant and invariant functionals and measures on systems of topological loops and quasigroups, Affine and wrap quasi-algebras over octonions, Structure of geometric wrap groups of non-Archimedean fibers, Spectral theory of super-differential operators of quaternion and octonion variables, META-CENTRALIZERS OF NON-LOCALLY COMPACT GROUP ALGEBRAS

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