Classification of pseudo-reductive groups /

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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Conrad, Brian, 1970-
Otros Autores: Prasad, Gopal
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton : Princeton University Press, 2016.
Colección:Annals of mathematics studies ; no. 191.
Temas:
Linear algebraic groups.
Group theory.
Geometry, Algebraic.
Groupes linéaires algébriques.
Théorie des groupes.
Géométrie algébrique.
MATHEMATICS > Algebra > Intermediate.
MATHEMATICS > Mathematical Analysis.
Geometry, Algebraic
Group theory
Linear algebraic groups
"ient homomorphism.
Cartan k-subgroup.
Dynkin diagram.
Isogeny Theorem.
Isomorphism Theorem.
Levi subgroup.
Tits classification.
Tits-style classification.
Weil restriction.
algebraic geometry.
automorphism functor.
automorphism scheme.
automorphism.
canonical central extensions.
central "ient.
central extension.
characteristic 2.
conformal isometry.
degenerate quadratic form.
double bond.
exotic construction.
field-theoretic invariant.
generalized exotic group.
generalized standard group.
generalized standard presentation.
generalized standard.
isomorphism class.
isomorphism.
isotropic group.
k-tame central extension.
linear isomorphism.
linear-algebraic invariant.
maximal torus.
minimal type.
non-reduced root system.
number theory.
pseudo-isogeny.
pseudo-reductive group.
pseudo-semisimple group.
pseudo-simple group.
pseudo-simple k-group.
pseudo-split form.
pseudo-split.
quadratic space.
quadrics.
rank-1.
rank-2.
rigidity property.
root field.
root system.
scheme-theoretic center.
semisimple "ient.
semisimple k-group.
structure theorem.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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

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