Pseudo-reductive groups /
"Pseudo-reductive groups arise naturally in the study of general smooth linear algebraic groups over non-perfect fields and have many important applications. This monograph provides a comprehensive treatment of the theory of pseudo-reductive groups and gives their classification in a usable for...
Clasificación: | Libro Electrónico |
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Autores principales: | , , |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Cambridge ; New York :
Cambridge University Press,
[2015]
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Edición: | Second edition. |
Colección: | New mathematical monographs ;
26. |
Temas: | |
Acceso en línea: | Texto completo |
Sumario: | "Pseudo-reductive groups arise naturally in the study of general smooth linear algebraic groups over non-perfect fields and have many important applications. This monograph provides a comprehensive treatment of the theory of pseudo-reductive groups and gives their classification in a usable form. In this second edition there is new material on relative root systems and Tits systems for general smooth affine groups, including the extension to quasi-reductive groups of famous simplicity results of Tits in the semisimple case. Chapter 9 has been completely rewritten to describe and classify pseudo-split absolutely pseudo-simple groups with a non-reduced root system over arbitrary fields of characteristic 2 via the useful new notion of 'minimal type' for pseudo-reductive groups. Researchers and graduate students working in related areas, such as algebraic geometry, algebraic group theory, or number theory will value this book, as it develops tools likely to be used in tackling other problems"-- |
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Descripción Física: | 1 online resource (xxiv, 665 pages) |
Bibliografía: | Includes bibliographical references (pages 656-658) and index. |
ISBN: | 9781316092439 1316092437 9781316320099 131632009X 1316310078 9781316310076 1316323455 9781316323458 1316330133 9781316330135 1316333477 9781316333471 1316326799 9781316326794 |