Properties of Quasi-Invariant Measures on Topological Groups and Associated211 Algebras

摘要

Properties of quasi-invariant relative to dense subgroups measures are considered211u001eon topological groups. Mainly non-locally compact groups are considered such as 211u001e(i) a group of diffeomorphisms Diff(t,M) of real or non-Archimedean manifold M in 211u001ecases of locally compact and nonlocally compact M, where t is a class of 211u001esmoothness, (ii) a Banach-Lie group over a classical or non-Archimedean field, 211u001e(iii) loop groups of real and non-Archimedean manifolds.