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Classification of pseudo-reductive groups / / Brian Conrad, Gopal Prasad
Classification of pseudo-reductive groups / / Brian Conrad, Gopal Prasad
Autore Conrad Brian <1970->
Pubbl/distr/stampa Princeton, New Jersey ; ; Oxford, England : , : Princeton University Press, , 2016
Descrizione fisica 1 online resource (256 p.)
Disciplina 512/.55
Collana Annals of Mathematics Studies
Soggetto topico Linear algebraic groups
Group theory
Geometry, Algebraic
Soggetto non controllato "ient homomorphism
Cartan k-subgroup
Dynkin diagram
Isogeny Theorem
Isomorphism Theorem
Levi subgroup
SeveriЂrauer variety
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
ISBN 1-4008-7402-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- 1. Introduction -- 2. Preliminary notions -- 3. Field-theoretic and linear-algebraic invariants -- 4. Central extensions and groups locally of minimal type -- 5. Universal smooth k-tame central extension -- 6. Automorphisms, isomorphisms, and Tits classification -- 7. Constructions with regular degenerate quadratic forms -- 8. Constructions when Φ has a double bond -- 9. Generalization of the standard construction -- A. Pseudo-isogenies -- B. Clifford constructions -- C. Pseudo-split and quasi-split forms -- D. Basic exotic groups of type F4 of relative rank 2 -- Bibliography -- Index
Record Nr. UNINA-9910797511403321
Conrad Brian <1970->  
Princeton, New Jersey ; ; Oxford, England : , : Princeton University Press, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Classification of pseudo-reductive groups / / Brian Conrad, Gopal Prasad
Classification of pseudo-reductive groups / / Brian Conrad, Gopal Prasad
Autore Conrad Brian <1970->
Pubbl/distr/stampa Princeton, New Jersey ; ; Oxford, England : , : Princeton University Press, , 2016
Descrizione fisica 1 online resource (256 p.)
Disciplina 512/.55
Collana Annals of Mathematics Studies
Soggetto topico Linear algebraic groups
Group theory
Geometry, Algebraic
Soggetto non controllato "ient homomorphism
Cartan k-subgroup
Dynkin diagram
Isogeny Theorem
Isomorphism Theorem
Levi subgroup
SeveriЂrauer variety
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
ISBN 1-4008-7402-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- 1. Introduction -- 2. Preliminary notions -- 3. Field-theoretic and linear-algebraic invariants -- 4. Central extensions and groups locally of minimal type -- 5. Universal smooth k-tame central extension -- 6. Automorphisms, isomorphisms, and Tits classification -- 7. Constructions with regular degenerate quadratic forms -- 8. Constructions when Φ has a double bond -- 9. Generalization of the standard construction -- A. Pseudo-isogenies -- B. Clifford constructions -- C. Pseudo-split and quasi-split forms -- D. Basic exotic groups of type F4 of relative rank 2 -- Bibliography -- Index
Record Nr. UNINA-9910813208303321
Conrad Brian <1970->  
Princeton, New Jersey ; ; Oxford, England : , : Princeton University Press, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui