A unitary representation of the basical central extension of a loop group

DOI10.1017/S0027763000007443zbMath0969.58011OpenAlexW1545568282MaRDI QIDQ4519048

Rémi Léandre

Publication date: 20 March 2001

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

Full work available at URL: https://doi.org/10.1017/s0027763000007443

zbMATH Keywords

Riemannian manifoldloop spacefinite energy Kac-Moody group

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic calculus of variations and the Malliavin calculus (60H07)

Related Items (1)

STOCHASTIC PROCESSES ON CLASSIFYING SPACES AND STRING STRUCTURES

Cites Work

• Integration by parts formulas and rotationally invariant Sobolev calculus on free loop spaces
• String structures and the path fibration of a group
• Factorial representations of path groups
• Index theorem and equivariant cohomology on the loop space
• String structures on loop bundles
• Integration on loop groups. III: Asymptotic Peter-Weyl orthogonality
• A Cameron-Martin type quasi-invariance theorem for Brownian motion on a compact Riemannian manifold
• Stochastic gauge transform of the string bundle
• Invariant Sobolev calculus on the free loop space
• Characteristic forms and geometric invariants
• COVER OF THE BROWNIAN BRIDGE AND STOCHASTIC SYMPLECTIC ACTION
• String structure over the Brownian bridge

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