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Record Nr. |
UNINA9910460677303321 |
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Autore |
Conrad Brian <1970-> |
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Titolo |
Classification of pseudo-reductive groups / / Brian Conrad, Gopal Prasad |
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Pubbl/distr/stampa |
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Princeton, New Jersey ; ; Oxford, England : , : Princeton University Press, , 2016 |
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©2016 |
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ISBN |
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Descrizione fisica |
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1 online resource (256 p.) |
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Collana |
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Annals of Mathematics Studies ; ; Number 191 |
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Disciplina |
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Soggetti |
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Linear algebraic groups |
Group theory |
Geometry, Algebraic |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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 |
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Sommario/riassunto |
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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 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. |
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