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Brauer Groups, Hopf Algebras and Galois Theory (K-Monographs in Mathematics)
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Product 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 etale 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. It is useful for researchers whose work involves group theory. The first two parts, in particular, can be recommended for supplementary, graduate course use.
Product Details
- Amazon Sales Rank: #2813442 in Books
- Published on: 2002-03-31
- Original language: English
- Number of items: 1
- Binding: Paperback
- 508 pages
