Reduction theory and arithmetic groups:
Arithmetic groups are generalisations, to the setting of algebraic groups over a global field, of the subgroups of finite index in the general linear group with entries in the ring of integers of an algebraic number field. They are rich, diverse structures and they arise in many areas of study. This...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2023
|
| Series: | New mathematical monographs
45 |
| Subjects: | |
| Online Access: | DE-12 DE-634 DE-92 DE-355 Volltext |
| Summary: | Arithmetic groups are generalisations, to the setting of algebraic groups over a global field, of the subgroups of finite index in the general linear group with entries in the ring of integers of an algebraic number field. They are rich, diverse structures and they arise in many areas of study. This text enables you to build a solid, rigorous foundation in the subject. It first develops essential geometric and number theoretical components to the investigations of arithmetic groups, and then examines a number of different themes, including reduction theory, (semi)-stable lattices, arithmetic groups in forms of the special linear group, unipotent groups and tori, and reduction theory for adelic coset spaces. Also included is a thorough treatment of the construction of geometric cycles in arithmetically defined locally symmetric spaces, and some associated cohomological questions. Written by a renowned expert, this book is a valuable reference for researchers and graduate students |
| Physical Description: | 1 Online-Ressource (xiii, 360 Seiten) |
| ISBN: | 9781108937610 |
| DOI: | 10.1017/9781108937610 |
Staff View
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| id | DE-604.BV048800157 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T21:27:40Z |
| indexdate | 2024-08-21T01:03:33Z |
| institution | BVB |
| isbn | 9781108937610 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034066289 |
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| physical | 1 Online-Ressource (xiii, 360 Seiten) |
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| spelling | Schwermer, Joachim 1950- (DE-588)109114957 aut Reduction theory and arithmetic groups Joachim Schwermer Cambridge Cambridge University Press 2023 1 Online-Ressource (xiii, 360 Seiten) txt rdacontent c rdamedia cr rdacarrier New mathematical monographs 45 45 Arithmetic groups are generalisations, to the setting of algebraic groups over a global field, of the subgroups of finite index in the general linear group with entries in the ring of integers of an algebraic number field. They are rich, diverse structures and they arise in many areas of study. This text enables you to build a solid, rigorous foundation in the subject. It first develops essential geometric and number theoretical components to the investigations of arithmetic groups, and then examines a number of different themes, including reduction theory, (semi)-stable lattices, arithmetic groups in forms of the special linear group, unipotent groups and tori, and reduction theory for adelic coset spaces. Also included is a thorough treatment of the construction of geometric cycles in arithmetically defined locally symmetric spaces, and some associated cohomological questions. Written by a renowned expert, this book is a valuable reference for researchers and graduate students Arithmetic groups Number theory Erscheint auch als Druck-Ausgabe, Hardcover 978-1-108-83203-8 New mathematical monographs 45 (DE-604)BV045935264 45 https://doi.org/10.1017/9781108937610 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Schwermer, Joachim 1950- Reduction theory and arithmetic groups Arithmetic groups Number theory New mathematical monographs |
| title | Reduction theory and arithmetic groups |
| title_auth | Reduction theory and arithmetic groups |
| title_exact_search | Reduction theory and arithmetic groups |
| title_exact_search_txtP | Reduction theory and arithmetic groups |
| title_full | Reduction theory and arithmetic groups Joachim Schwermer |
| title_fullStr | Reduction theory and arithmetic groups Joachim Schwermer |
| title_full_unstemmed | Reduction theory and arithmetic groups Joachim Schwermer |
| title_short | Reduction theory and arithmetic groups |
| title_sort | reduction theory and arithmetic groups |
| topic | Arithmetic groups Number theory |
| topic_facet | Arithmetic groups Number theory |
| url | https://doi.org/10.1017/9781108937610 |
| volume_link | (DE-604)BV045935264 |
| work_keys_str_mv | AT schwermerjoachim reductiontheoryandarithmeticgroups |