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portada brauer groups, hopf algebras and galois theory
Type
Physical Book
Publisher
Year
2002
Language
Inglés
Pages
488
Format
Paperback
Dimensions
23.8 x 15.8 x 2.7 cm
Weight
0.70 kg.
ISBN
1402003463
ISBN13
9781402003462

brauer groups, hopf algebras and galois theory

Stefaan Caenepeel (Author) · Springer · Paperback

brauer groups, hopf algebras and galois theory - Caenepeel, Stefaan

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Synopsis "brauer groups, hopf algebras and galois theory"

This volume is devoted to the Brauer group of a commutative ring and related invariants. Part I presents a new self-contained exposition of the Brauer group of a commutative ring. Included is a systematic development of the theory of Grothendieck topologies and étale cohomology, and discussion of topics such as Gabber's theorem and the theory of Taylor's big Brauer group of algebras without a unit. Part II presents a systematic development of the Galois theory of Hopf algebras with special emphasis on the group of Galois objects of a cocommutative Hopf algebra. The development of the theory is carried out in such a way that the connection to the theory of the Brauer group in Part I is made clear. Recent developments are considered and examples are included. The Brauer-Long group of a Hopf algebra over a commutative ring is discussed in Part III. This provides a link between the first two parts of the volume and is the first time this topic has been discussed in a monograph. Audience: Researchers whose work involves group theory. The first two parts, in particular, can be recommended for supplementary, graduate course use.

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