Classification of pseudo-reductive groups:
In the earlier monograph Pseudo-reductive Groups, Brian Conrad, Ofer Gabber, and Gopal Prasad explored the general structure of pseudo-reductive groups. In this new book, Classification of Pseudo-reductive Groups, Conrad and Prasad go further to study the classification over an arbitrary field. An i...
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton, NJ
Princeton University Press
[2016]
|
| Series: | Annals of Mathematics Studies
number 191 |
| Subjects: | |
| Online Access: | DE-1046 DE-859 DE-860 DE-739 DE-1043 DE-858 Volltext |
| Summary: | In the earlier monograph Pseudo-reductive Groups, Brian Conrad, Ofer Gabber, and Gopal Prasad explored the general structure of pseudo-reductive groups. In this new book, Classification of Pseudo-reductive Groups, Conrad and Prasad go further to study the classification over an arbitrary field. An isomorphism theorem proved here determines the automorphism schemes of these groups. The book also gives a Tits-Witt type classification of isotropic groups and displays a cohomological obstruction to the existence of pseudo-split forms. Constructions based on regular degenerate quadratic forms and new techniques with central extensions provide insight into new phenomena in characteristic 2, which also leads to simplifications of the earlier work. A generalized standard construction is shown to account for all possibilities up to mild central extensions. The results and methods developed in Classification of Pseudo-reductive Groups will interest mathematicians and graduate students who work with algebraic groups in number theory and algebraic geometry in positive characteristic |
| Item Description: | Description based on online resource; title from PDF title page (publisher's Web site, viewed Mar. 30, 2016) |
| Physical Description: | 1 online resource |
| ISBN: | 9781400874026 |
| DOI: | 10.1515/9781400874026 |
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| 520 | |a In the earlier monograph Pseudo-reductive Groups, Brian Conrad, Ofer Gabber, and Gopal Prasad explored the general structure of pseudo-reductive groups. In this new book, Classification of Pseudo-reductive Groups, Conrad and Prasad go further to study the classification over an arbitrary field. An isomorphism theorem proved here determines the automorphism schemes of these groups. The book also gives a Tits-Witt type classification of isotropic groups and displays a cohomological obstruction to the existence of pseudo-split forms. Constructions based on regular degenerate quadratic forms and new techniques with central extensions provide insight into new phenomena in characteristic 2, which also leads to simplifications of the earlier work. A generalized standard construction is shown to account for all possibilities up to mild central extensions. The results and methods developed in Classification of Pseudo-reductive Groups will interest mathematicians and graduate students who work with algebraic groups in number theory and algebraic geometry in positive characteristic | ||
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| isbn | 9781400874026 |
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| spelling | Conrad, Brian 1970- (DE-588)122429206 aut Classification of pseudo-reductive groups Brian Conrad, Gopal Prasad Princeton, NJ Princeton University Press [2016] © 2016 1 online resource txt rdacontent c rdamedia cr rdacarrier Annals of Mathematics Studies number 191 Description based on online resource; title from PDF title page (publisher's Web site, viewed Mar. 30, 2016) In the earlier monograph Pseudo-reductive Groups, Brian Conrad, Ofer Gabber, and Gopal Prasad explored the general structure of pseudo-reductive groups. In this new book, Classification of Pseudo-reductive Groups, Conrad and Prasad go further to study the classification over an arbitrary field. An isomorphism theorem proved here determines the automorphism schemes of these groups. The book also gives a Tits-Witt type classification of isotropic groups and displays a cohomological obstruction to the existence of pseudo-split forms. Constructions based on regular degenerate quadratic forms and new techniques with central extensions provide insight into new phenomena in characteristic 2, which also leads to simplifications of the earlier work. A generalized standard construction is shown to account for all possibilities up to mild central extensions. The results and methods developed in Classification of Pseudo-reductive Groups will interest mathematicians and graduate students who work with algebraic groups in number theory and algebraic geometry in positive characteristic In English Geometry, Algebraic Group theory Linear algebraic groups Algebraische Gruppe (DE-588)4001164-1 gnd rswk-swf Algebraische Gruppe (DE-588)4001164-1 s 1\p DE-604 Prasad, Gopal 1945- (DE-588)136265367 aut Erscheint auch als Druck-Ausgabe 978-0-691-16792-3 Annals of Mathematics Studies number 191 (DE-604)BV040389493 191 https://doi.org/10.1515/9781400874026 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Conrad, Brian 1970- Prasad, Gopal 1945- Classification of pseudo-reductive groups Annals of Mathematics Studies Geometry, Algebraic Group theory Linear algebraic groups Algebraische Gruppe (DE-588)4001164-1 gnd |
| subject_GND | (DE-588)4001164-1 |
| title | Classification of pseudo-reductive groups |
| title_auth | Classification of pseudo-reductive groups |
| title_exact_search | Classification of pseudo-reductive groups |
| title_full | Classification of pseudo-reductive groups Brian Conrad, Gopal Prasad |
| title_fullStr | Classification of pseudo-reductive groups Brian Conrad, Gopal Prasad |
| title_full_unstemmed | Classification of pseudo-reductive groups Brian Conrad, Gopal Prasad |
| title_short | Classification of pseudo-reductive groups |
| title_sort | classification of pseudo reductive groups |
| topic | Geometry, Algebraic Group theory Linear algebraic groups Algebraische Gruppe (DE-588)4001164-1 gnd |
| topic_facet | Geometry, Algebraic Group theory Linear algebraic groups Algebraische Gruppe |
| url | https://doi.org/10.1515/9781400874026 |
| volume_link | (DE-604)BV040389493 |
| work_keys_str_mv | AT conradbrian classificationofpseudoreductivegroups AT prasadgopal classificationofpseudoreductivegroups |