New directions in locally compact groups:
This collection of expository articles by a range of established experts and newer researchers provides an overview of the recent developments in the theory of locally compact groups. It includes introductory articles on totally disconnected locally compact groups, profinite groups, p-adic Lie group...
Saved in:
| Other Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2018
|
| Series: | London Mathematical Society lecture note series
447 |
| Subjects: | |
| Online Access: | BSB01 FHN01 UBA01 Volltext |
| Summary: | This collection of expository articles by a range of established experts and newer researchers provides an overview of the recent developments in the theory of locally compact groups. It includes introductory articles on totally disconnected locally compact groups, profinite groups, p-adic Lie groups and the metric geometry of locally compact groups. Concrete examples, including groups acting on trees and Neretin groups, are discussed in detail. An outline of the emerging structure theory of locally compact groups beyond the connected case is presented through three complementary approaches: Willis' theory of the scale function, global decompositions by means of subnormal series, and the local approach relying on the structure lattice. An introduction to lattices, invariant random subgroups and L2-invariants, and a brief account of the Burger–Mozes construction of simple lattices are also included. A final chapter collects various problems suggesting future research directions |
| Item Description: | Title from publisher's bibliographic system (viewed on 12 Feb 2018) |
| Physical Description: | 1 Online-Ressource (viii, 358 Seiten) |
| DOI: | 10.1017/9781108332675 |
Staff View
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| 520 | |a This collection of expository articles by a range of established experts and newer researchers provides an overview of the recent developments in the theory of locally compact groups. It includes introductory articles on totally disconnected locally compact groups, profinite groups, p-adic Lie groups and the metric geometry of locally compact groups. Concrete examples, including groups acting on trees and Neretin groups, are discussed in detail. An outline of the emerging structure theory of locally compact groups beyond the connected case is presented through three complementary approaches: Willis' theory of the scale function, global decompositions by means of subnormal series, and the local approach relying on the structure lattice. An introduction to lattices, invariant random subgroups and L2-invariants, and a brief account of the Burger–Mozes construction of simple lattices are also included. A final chapter collects various problems suggesting future research directions | ||
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:06:02Z |
| institution | BVB |
| language | English |
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| spelling | New directions in locally compact groups edited by Pierre-Emmanuel Caprace, Nicolas Monod Cambridge Cambridge University Press 2018 1 Online-Ressource (viii, 358 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 447 Title from publisher's bibliographic system (viewed on 12 Feb 2018) This collection of expository articles by a range of established experts and newer researchers provides an overview of the recent developments in the theory of locally compact groups. It includes introductory articles on totally disconnected locally compact groups, profinite groups, p-adic Lie groups and the metric geometry of locally compact groups. Concrete examples, including groups acting on trees and Neretin groups, are discussed in detail. An outline of the emerging structure theory of locally compact groups beyond the connected case is presented through three complementary approaches: Willis' theory of the scale function, global decompositions by means of subnormal series, and the local approach relying on the structure lattice. An introduction to lattices, invariant random subgroups and L2-invariants, and a brief account of the Burger–Mozes construction of simple lattices are also included. A final chapter collects various problems suggesting future research directions Locally compact groups Lokal kompakte Gruppe (DE-588)4168094-7 gnd rswk-swf Lokal kompakte Gruppe (DE-588)4168094-7 s 1\p DE-604 Caprace, Pierre-Emmanuel 1981- (DE-588)137736517 edt Monod, Nicolas 1973- (DE-588)122848896 edt Erscheint auch als Druck-Ausgabe, paperback 9781108413121 https://doi.org/10.1017/9781108332675 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | New directions in locally compact groups Locally compact groups Lokal kompakte Gruppe (DE-588)4168094-7 gnd |
| subject_GND | (DE-588)4168094-7 |
| title | New directions in locally compact groups |
| title_auth | New directions in locally compact groups |
| title_exact_search | New directions in locally compact groups |
| title_full | New directions in locally compact groups edited by Pierre-Emmanuel Caprace, Nicolas Monod |
| title_fullStr | New directions in locally compact groups edited by Pierre-Emmanuel Caprace, Nicolas Monod |
| title_full_unstemmed | New directions in locally compact groups edited by Pierre-Emmanuel Caprace, Nicolas Monod |
| title_short | New directions in locally compact groups |
| title_sort | new directions in locally compact groups |
| topic | Locally compact groups Lokal kompakte Gruppe (DE-588)4168094-7 gnd |
| topic_facet | Locally compact groups Lokal kompakte Gruppe |
| url | https://doi.org/10.1017/9781108332675 |
| work_keys_str_mv | AT capracepierreemmanuel newdirectionsinlocallycompactgroups AT monodnicolas newdirectionsinlocallycompactgroups |