56 citations · 95 across the 14 of their papers we have counts for
17 papers
On groups of smooth maps into a simple compact Lie group, revisited
Pierre de la Harpe
Let be a closed smooth manifold, be a simple connected compact real Lie group, be the group of all smooth maps from to , and be its connected compo…
Unitary representations of groups, duals, and characters
Bachir Bekka, Pierre de la Harpe
This is an expository book on unitary representations of topological groups, and of several dual spaces, which are spaces of such representations up to some equivalence. The most i…
Zooming in on the large-scale geometry of locally compact groups
Yves de Cornulier, Pierre de la Harpe
The purpose of this survey is to describe how locally compact groups can be studied as geometric objects. We will emphasize the main ideas and skip or just sketch most proofs, ofte…
Amenability and paradoxical decompositions for pseudogroups and for discrete metric spaces
Tullio Ceccherini-Silberstein, Rostislav I. Grigorchuk, Pierre de la Harpe
This is an expostion of various aspects of amenability and paradoxical decompositions for groups, group actions and metric spaces. First, we review the formalism of pseudogroups, w…
Conjugacy growth series of some infinitely generated groups
Roland Bacher, Pierre De La Harpe
It is observed that the conjugacy growth series of the infinite fini-tary symmetric group with respect to the generating set of transpositions is the generating series of the parti…
Malnormal subgroups and Frobenius groups: basics and examples
Pierre de la Harpe, Claude Weber, Appendix by Denis Osin
Malnormal subgroups occur in various contexts. We review a large number of examples, and we compare the situation in this generality to that of finite Frobenius groups of permutati…