Abstract
Loop and path groups G and semigroups S as families of mappings of one non-Archimedean Banach manifold M into another N with marked points over the same locally compact field K of characteristic char(K) = 0 are considered. Quasi-invariant measures on them are constructed, Then measures are used to investigate irreducible representations of such groups.
Highlights
Loop and path groups are very important in differential geometry, algebraic topology and theoretical physics [2, 5, 19, 25]
More general classes of quasi-invariant and pseudo-differentiable of order b measures i/ with values in [0, oo~ or in Kq exist in view of Theorems 3.23, 3.28 and 4.3 [14] on V’0 relative to the action of 03C6 E W’e such that (03C6, 03C5) ~
Summary
Quasi-invariant measures on non-archimedean groups and semigroups of loops and paths, their representations. I. Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques http://www.numdam.org/. Quasi-invariant measures on non-Archimedean groups and semigroups of loops and paths, their representations. Ludkovsky permanent address: Theoretical Department, Institute of General Physics, Str. Vavilov 38, Moscow, 117942, Russia
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
