Brauer Groups, Hopf Algebras and Galois Theory S. Caenepeel

ISBN: 9780792348290

Published: January 31st 1998

Hardcover

508 pages


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Brauer Groups, Hopf Algebras and Galois Theory  by  S. Caenepeel

Brauer Groups, Hopf Algebras and Galois Theory by S. Caenepeel
January 31st 1998 | Hardcover | PDF, EPUB, FB2, DjVu, talking book, mp3, RTF | 508 pages | ISBN: 9780792348290 | 10.29 Mb

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 GrothendieckMoreThis 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 A(c)tale cohomology, and discussion of topics such as Gabbers theorem and the theory of Taylors 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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