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...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ
Princeton University Press
[2016]
|
| Schriftenreihe: | Annals of Mathematics Studies
number 191 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FHA01 FKE01 FLA01 UPA01 FAB01 FCO01 Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed Mar. 30, 2016) |
| Beschreibung: | 1 online resource |
| ISBN: | 9781400874026 |
| DOI: | 10.1515/9781400874026 |
Internformat
MARC
| LEADER | 00000nmm a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV043598828 | ||
| 003 | DE-604 | ||
| 005 | 20200403 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 160614s2016 |||| o||u| ||||||eng d | ||
| 020 | |a 9781400874026 |9 978-1-4008-7402-6 | ||
| 024 | 7 | |a 10.1515/9781400874026 |2 doi | |
| 035 | |a (ZDB-23-DGG)9781400874026 | ||
| 035 | |a (OCoLC)1165562158 | ||
| 035 | |a (DE-599)BVBBV043598828 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-859 |a DE-860 |a DE-Aug4 |a DE-739 |a DE-1046 |a DE-83 |a DE-1043 |a DE-858 | ||
| 082 | 0 | |a 512/.55 |2 23 | |
| 084 | |a SI 830 |0 (DE-625)143195: |2 rvk | ||
| 084 | |a SK 260 |0 (DE-625)143227: |2 rvk | ||
| 100 | 1 | |a Conrad, Brian |d 1970- |0 (DE-588)122429206 |4 aut | |
| 245 | 1 | 0 | |a Classification of pseudo-reductive groups |c Brian Conrad, Gopal Prasad |
| 264 | 1 | |a Princeton, NJ |b Princeton University Press |c [2016] | |
| 264 | 4 | |c © 2016 | |
| 300 | |a 1 online resource | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 1 | |a Annals of Mathematics Studies |v number 191 | |
| 500 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed Mar. 30, 2016) | ||
| 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 | ||
| 546 | |a In English | ||
| 650 | 4 | |a Geometry, Algebraic | |
| 650 | 4 | |a Group theory | |
| 650 | 4 | |a Linear algebraic groups | |
| 650 | 0 | 7 | |a Algebraische Gruppe |0 (DE-588)4001164-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Algebraische Gruppe |0 (DE-588)4001164-1 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Prasad, Gopal |d 1945- |0 (DE-588)136265367 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 978-0-691-16792-3 |
| 830 | 0 | |a Annals of Mathematics Studies |v number 191 |w (DE-604)BV040389493 |9 191 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9781400874026 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-23-DGG |a ZDB-23-PST | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-029013041 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 966 | e | |u https://doi.org/10.1515/9781400874026?locatt=mode:legacy |l FAW01 |p ZDB-23-DGG |q FAW_PDA_DGG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1515/9781400874026?locatt=mode:legacy |l FHA01 |p ZDB-23-DGG |q FHA_PDA_DGG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1515/9781400874026?locatt=mode:legacy |l FKE01 |p ZDB-23-DGG |q FKE_PDA_DGG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1515/9781400874026?locatt=mode:legacy |l FLA01 |p ZDB-23-DGG |q FLA_PDA_DGG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1515/9781400874026?locatt=mode:legacy |l UPA01 |p ZDB-23-DGG |q UPA_PDA_DGG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1515/9781400874026?locatt=mode:legacy |l FAB01 |p ZDB-23-DGG |q FAB_PDA_DGG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1515/9781400874026?locatt=mode:legacy |l FCO01 |p ZDB-23-DGG |q FCO_PDA_DGG |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804176340889370624 |
|---|---|
| any_adam_object | |
| author | Conrad, Brian 1970- Prasad, Gopal 1945- |
| author_GND | (DE-588)122429206 (DE-588)136265367 |
| author_facet | Conrad, Brian 1970- Prasad, Gopal 1945- |
| author_role | aut aut |
| author_sort | Conrad, Brian 1970- |
| author_variant | b c bc g p gp |
| building | Verbundindex |
| bvnumber | BV043598828 |
| classification_rvk | SI 830 SK 260 |
| collection | ZDB-23-DGG ZDB-23-PST |
| ctrlnum | (ZDB-23-DGG)9781400874026 (OCoLC)1165562158 (DE-599)BVBBV043598828 |
| dewey-full | 512/.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.55 |
| dewey-search | 512/.55 |
| dewey-sort | 3512 255 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1515/9781400874026 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03931nmm a2200601 cb4500</leader><controlfield tag="001">BV043598828</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20200403 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">160614s2016 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781400874026</subfield><subfield code="9">978-1-4008-7402-6</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9781400874026</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-23-DGG)9781400874026</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1165562158</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043598828</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-859</subfield><subfield code="a">DE-860</subfield><subfield code="a">DE-Aug4</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-1046</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-1043</subfield><subfield code="a">DE-858</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.55</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 830</subfield><subfield code="0">(DE-625)143195:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 260</subfield><subfield code="0">(DE-625)143227:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Conrad, Brian</subfield><subfield code="d">1970-</subfield><subfield code="0">(DE-588)122429206</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Classification of pseudo-reductive groups</subfield><subfield code="c">Brian Conrad, Gopal Prasad</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton, NJ</subfield><subfield code="b">Princeton University Press</subfield><subfield code="c">[2016]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2016</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Annals of Mathematics Studies</subfield><subfield code="v">number 191</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed Mar. 30, 2016)</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="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</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geometry, Algebraic</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Group theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Linear algebraic groups</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algebraische Gruppe</subfield><subfield code="0">(DE-588)4001164-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Algebraische Gruppe</subfield><subfield code="0">(DE-588)4001164-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Prasad, Gopal</subfield><subfield code="d">1945-</subfield><subfield code="0">(DE-588)136265367</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">978-0-691-16792-3</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Annals of Mathematics Studies</subfield><subfield code="v">number 191</subfield><subfield code="w">(DE-604)BV040389493</subfield><subfield code="9">191</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9781400874026</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DGG</subfield><subfield code="a">ZDB-23-PST</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029013041</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9781400874026?locatt=mode:legacy</subfield><subfield code="l">FAW01</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FAW_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9781400874026?locatt=mode:legacy</subfield><subfield code="l">FHA01</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FHA_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9781400874026?locatt=mode:legacy</subfield><subfield code="l">FKE01</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FKE_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9781400874026?locatt=mode:legacy</subfield><subfield code="l">FLA01</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FLA_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9781400874026?locatt=mode:legacy</subfield><subfield code="l">UPA01</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">UPA_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9781400874026?locatt=mode:legacy</subfield><subfield code="l">FAB01</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FAB_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9781400874026?locatt=mode:legacy</subfield><subfield code="l">FCO01</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FCO_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV043598828 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:30:38Z |
| institution | BVB |
| isbn | 9781400874026 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029013041 |
| oclc_num | 1165562158 |
| open_access_boolean | |
| owner | DE-859 DE-860 DE-Aug4 DE-739 DE-1046 DE-83 DE-1043 DE-858 |
| owner_facet | DE-859 DE-860 DE-Aug4 DE-739 DE-1046 DE-83 DE-1043 DE-858 |
| physical | 1 online resource |
| psigel | ZDB-23-DGG ZDB-23-PST ZDB-23-DGG FAW_PDA_DGG ZDB-23-DGG FHA_PDA_DGG ZDB-23-DGG FKE_PDA_DGG ZDB-23-DGG FLA_PDA_DGG ZDB-23-DGG UPA_PDA_DGG ZDB-23-DGG FAB_PDA_DGG ZDB-23-DGG FCO_PDA_DGG |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | Princeton University Press |
| record_format | marc |
| series | Annals of Mathematics Studies |
| series2 | Annals of Mathematics Studies |
| 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 |