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Classification of Pseudo-reductive Groups (AM-191)
Brian Conrad
€ 193.70
€ 144.23
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Description for Classification of Pseudo-reductive Groups (AM-191)
Hardback. Series: Annals of Mathematics Studies. Num Pages: 256 pages, illustrations. BIC Classification: PBF. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 163 x 242 x 18. Weight in Grams: 506.
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. Constructions based on regular degenerate quadratic forms and new techniques with central extensions provide insight into new phenomena in characteristic 2, which also leads to ... Read more
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. Constructions based on regular degenerate quadratic forms and new techniques with central extensions provide insight into new phenomena in characteristic 2, which also leads to ... Read more
Product Details
Format
Hardback
Publication date
2015
Publisher
Princeton University Press United States
Number of pages
256
Condition
New
Series
Annals of Mathematics Studies
Number of Pages
256
Place of Publication
New Jersey, United States
ISBN
9780691167923
SKU
V9780691167923
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Brian Conrad
Brian Conrad is professor of mathematics at Stanford University. Gopal Prasad is the Raoul Bott Professor of Mathematics at the University of Michigan.
Reviews for Classification of Pseudo-reductive Groups (AM-191)
"This book is beautiful and will be at the origin of many advances in the general theory of arbitrary algebraic groups."
Bertrand Remy, MathSciNet
Bertrand Remy, MathSciNet