Topological groups and invariant measures

2015/10/11 by Neretin, Yury A.
#22-01 #22E66 #22F10 #28C10 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1510.03082

Abstract

Lecture notes in Russian. Topics: the Haar measure (abstract theorems and explicit descriptions for different groups), measures on infinite-dimensional spaces with large natural groups of symmetries (Gaussian measures, Poisson measures, virtual permutations, inverse limits of unitary groups), zoo of examples of topological groups, generalities for large (infinite-dimensional) groups, polymorphisms.

Related

• Haar Measures
• A survey of Measured Group Theory
• The Haar measure of a profinite n-ary group
• Haar measure for non-Hausdorff locally compact groups
• Invariant measures in simple and in small theories