Cargando…
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
2016.
|
| Colección: | Annals of mathematics studies ;
no. 191. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Mi 4500 | ||
|---|---|---|---|
| 001 | JSTOR_ocn930040951 | ||
| 003 | OCoLC | ||
| 005 | 20231005004200.0 | ||
| 006 | m o d | ||
| 007 | cr |n||||||||| | ||
| 008 | 151120s2016 nju ob 001 0 eng d | ||
| 010 | |a 2015023803 | ||
| 040 | |a YDXCP |b eng |e rda |e pn |c YDXCP |d OCLCO |d IDEBK |d N$T |d OCLCF |d CDX |d COO |d OCLCO |d JSTOR |d EBLCP |d DEBBG |d UIU |d CCO |d COCUF |d MOA |d MERUC |d K6U |d DEBSZ |d PIFAG |d FVL |d OCLCQ |d ZCU |d U3W |d EZ9 |d WRM |d STF |d OCLCQ |d ICG |d VT2 |d OCLCQ |d WYU |d TKN |d DKC |d OCLCQ |d SFB |d OCLCQ |d VLY |d MM9 |d IEEEE |d OCLCO |d S2H |d OCLCO |d INARC |d OCLCQ |d YWS |d OCLCO | ||
| 019 | |a 922702226 |a 932328021 |a 1055356148 |a 1066678245 |a 1228573392 | ||
| 020 | |a 1400874025 |q (electronic bk.) | ||
| 020 | |a 9781400874026 |q (electronic bk.) | ||
| 020 | |z 9780691167923 |q (hardcover ; |q alk. paper) | ||
| 020 | |z 0691167923 |q (hardcover ; |q alk. paper) | ||
| 020 | |z 9780691167930 |q (pbk. ; |q alk. paper) | ||
| 020 | |z 0691167931 |q (pbk. ; |q alk. paper) | ||
| 024 | 7 | |a 10.1515/9781400874026 |2 doi | |
| 029 | 1 | |a DEBBG |b BV043598828 | |
| 029 | 1 | |a GBVCP |b 861794389 | |
| 029 | 1 | |a DEBSZ |b 47798486X | |
| 029 | 1 | |a AU@ |b 000060077744 | |
| 029 | 1 | |a AU@ |b 000068443163 | |
| 035 | |a (OCoLC)930040951 |z (OCoLC)922702226 |z (OCoLC)932328021 |z (OCoLC)1055356148 |z (OCoLC)1066678245 |z (OCoLC)1228573392 | ||
| 037 | |a 832712 |b MIL | ||
| 037 | |a 22573/ctt193f7hw |b JSTOR | ||
| 037 | |a 9452403 |b IEEE | ||
| 050 | 4 | |a QA179 |b .C665 2016 | |
| 072 | 7 | |a MAT |x 002040 |2 bisacsh | |
| 072 | 7 | |a MAT034000 |2 bisacsh | |
| 072 | 7 | |a MAT022000 |2 bisacsh | |
| 072 | 7 | |a MAT012010 |2 bisacsh | |
| 082 | 0 | 4 | |a 512/.55 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Conrad, Brian, |d 1970- | |
| 245 | 1 | 0 | |a Classification of pseudo-reductive groups / |c Brian Conrad, Gopal Prasad. |
| 264 | 4 | |c ©2016 | |
| 264 | 1 | |a Princeton : |b Princeton University Press, |c 2016. | |
| 300 | |a 1 online resource (1 volume) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Annals of mathematics studies ; |v number 191 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 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. | ||
| 505 | 0 | |a Cover; Title; Copyright; Contents; 1 Introduction; 1.1 Motivation; 1.2 Root systems and new results; 1.3 Exotic groups and degenerate quadratic forms; 1.4 Tame central extensions; 1.5 Generalized standard groups; 1.6 Minimal type and general structure theorem; 1.7 Galois-twisted forms and Tits classification; 1.8 Background, notation, and acknowledgments; 2 Preliminary notions; 2.1 Standard groups, Levi subgroups, and root systems; 2.2 The basic exotic construction; 2.3 Minimal type; 3 Field-theoretic and linear-algebraic invariants; 3.1 A non-standard rank-1 construction | |
| 590 | |a JSTOR |b Books at JSTOR All Purchased | ||
| 590 | |a JSTOR |b Books at JSTOR Evidence Based Acquisitions | ||
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 650 | 0 | |a Linear algebraic groups. | |
| 650 | 0 | |a Group theory. | |
| 650 | 0 | |a Geometry, Algebraic. | |
| 650 | 6 | |a Groupes linéaires algébriques. | |
| 650 | 6 | |a Théorie des groupes. | |
| 650 | 6 | |a Géométrie algébrique. | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Geometry, Algebraic |2 fast | |
| 650 | 7 | |a Group theory |2 fast | |
| 650 | 7 | |a Linear algebraic groups |2 fast | |
| 653 | |a "ient homomorphism. | ||
| 653 | |a Cartan k-subgroup. | ||
| 653 | |a Dynkin diagram. | ||
| 653 | |a Isogeny Theorem. | ||
| 653 | |a Isomorphism Theorem. | ||
| 653 | |a Levi subgroup. | ||
| 653 | |a Tits classification. | ||
| 653 | |a Tits-style classification. | ||
| 653 | |a Weil restriction. | ||
| 653 | |a algebraic geometry. | ||
| 653 | |a automorphism functor. | ||
| 653 | |a automorphism scheme. | ||
| 653 | |a automorphism. | ||
| 653 | |a canonical central extensions. | ||
| 653 | |a central "ient. | ||
| 653 | |a central extension. | ||
| 653 | |a characteristic 2. | ||
| 653 | |a conformal isometry. | ||
| 653 | |a degenerate quadratic form. | ||
| 653 | |a double bond. | ||
| 653 | |a exotic construction. | ||
| 653 | |a field-theoretic invariant. | ||
| 653 | |a generalized exotic group. | ||
| 653 | |a generalized standard group. | ||
| 653 | |a generalized standard presentation. | ||
| 653 | |a generalized standard. | ||
| 653 | |a isomorphism class. | ||
| 653 | |a isomorphism. | ||
| 653 | |a isotropic group. | ||
| 653 | |a k-tame central extension. | ||
| 653 | |a linear isomorphism. | ||
| 653 | |a linear-algebraic invariant. | ||
| 653 | |a maximal torus. | ||
| 653 | |a minimal type. | ||
| 653 | |a non-reduced root system. | ||
| 653 | |a number theory. | ||
| 653 | |a pseudo-isogeny. | ||
| 653 | |a pseudo-reductive group. | ||
| 653 | |a pseudo-semisimple group. | ||
| 653 | |a pseudo-simple group. | ||
| 653 | |a pseudo-simple k-group. | ||
| 653 | |a pseudo-split form. | ||
| 653 | |a pseudo-split. | ||
| 653 | |a quadratic space. | ||
| 653 | |a quadrics. | ||
| 653 | |a rank-1. | ||
| 653 | |a rank-2. | ||
| 653 | |a rigidity property. | ||
| 653 | |a root field. | ||
| 653 | |a root system. | ||
| 653 | |a scheme-theoretic center. | ||
| 653 | |a semisimple "ient. | ||
| 653 | |a semisimple k-group. | ||
| 653 | |a structure theorem. | ||
| 700 | 1 | |a Prasad, Gopal. | |
| 776 | 0 | 8 | |i Print version: |z 9780691167923 |z 0691167923 |w (DLC) 2015023803 |
| 830 | 0 | |a Annals of mathematics studies ; |v no. 191. | |
| 856 | 4 | 0 | |u https://jstor.uam.elogim.com/stable/10.2307/j.ctt18z4hnr |z Texto completo |
| 938 | |a Internet Archive |b INAR |n classificationof0000conr | ||
| 938 | |a YBP Mibrary Services |b YANK |n 12428293 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n cis32782141 | ||
| 938 | |a EBSCOhost |b EBSC |n 1063812 | ||
| 938 | |a Coutts Information Services |b COUT |n 32782141 | ||
| 938 | |a EBL - Ebook Mibrary |b EBLB |n EBL4001611 | ||
| 994 | |a 92 |b IZTAP | ||