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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 genere / forma | Electronic books. |
| 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-9910460677303321 |
Conrad Brian <1970->
|
||
| Princeton, New Jersey ; ; Oxford, England : , : Princeton University Press, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 | ||
| ||
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 | ||
| ||