Measures on diffeomorphism groups for non-Archimedean manifolds: Group representations and their applications

DOI10.1007/BF02557380zbMath0952.58008MaRDI QIDQ1567910

Sergey V. Ludkovsky

Publication date: 11 January 2001

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

homeomorphism groupsdiffeomorphism groupsnon-Archimedean Banach manifoldsnon-Archimedean gravitation theory

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20)

Related Items (3)

Integral operators for nonlocally compact group modules ⋮ Quasi-invariant measures on non-Archimedean groups and semigroups of loops and paths, their representations. I ⋮ Properties of quasi-invariant measures on topological groups and associated algebras

Cites Work

• THE WAVE FUNCTION OF THE UNIVERSE AND p-ADIC GRAVITY
• Generalized functions over the field ofp-adic numbers
• Measures on groups of diffeomorphisms of non-Archimedean Banach manifolds
• Measurability of representations of infinite-dimensional groups
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