Stefaan Caenepeel

(Author)

Brauer Groups, Hopf Algebras and Galois Theory (1998)Paperback - 1998, 31 March 2002

Brauer Groups, Hopf Algebras and Galois Theory (1998)
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Part of Series
K-Monographs in Mathematics
Print Length
488 pages
Language
English
Publisher
Springer
Date Published
31 Mar 2002
ISBN-10
1402003463
ISBN-13
9781402003462

Description

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.

Product Details

Author:
Stefaan Caenepeel
Book Edition:
1998
Book Format:
Paperback
Country of Origin:
US
Date Published:
31 March 2002
Dimensions:
23.77 x 15.8 x 2.72 cm
ISBN-10:
1402003463
ISBN-13:
9781402003462
Language:
English
Location:
Dordrecht
Pages:
488
Publisher:
Weight:
698.53 gm

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