Algebraic Groups: The Theory of Group Schemes of Finite Type over a Field

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Autor:	J. S. Milne
Lehekülgede arv:	664
Ilmumisaasta:	2022
Kauba ID:	20495723

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Toote kirjeldus: Algebraic Groups: The Theory of Group Schemes of Finite Type over a Field

Algebraic groups play much the same role for algebraists as Lie groups play for analysts. This book is the first comprehensive introduction to the theory of algebraic group schemes over fields that includes the structure theory of semisimple algebraic groups, and is written in the language of modern algebraic geometry. The first eight chapters study general algebraic group schemes over a field and culminate in a proof of the BarsottiChevalley theorem, realizing every algebraic group as an extension of an abelian variety by an affine group. After a review of the Tannakian philosophy, the author provides short accounts of Lie algebras and finite group schemes. The later chapters treat reductive algebraic groups over arbitrary fields, including the BorelChevalley structure theory. Solvable algebraic groups are studied in detail. Prerequisites have also been kept to a minimum so that the book is accessible to non-specialists in algebraic geometry.

Üldine tooteinfo: Algebraic Groups: The Theory of Group Schemes of Finite Type over a Field

Kauba ID:	20495723
Kategooria:	Majandusalased raamatud
Tootepakendite arv:	1 tk.
Paki suurus ja kaal (1):	0,3 x 0,3 x 0,1 m, 0,2 kg
Kirjastus:	Cambridge University Press
Raamatu keel:	Inglise keel
Tüüp:	Täpsustamata
Autor:	J. S. Milne
Lehekülgede arv:	664
Ilmumisaasta:	2022

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