Brauer Groups Hopf Algebras And Galois Theory
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Brauer Groups Hopf Algebras and Galois Theory
Author | : Stefaan Caenepeel |
Publsiher | : Springer Science & Business Media |
Total Pages | : 516 |
Release | : 2002-03-31 |
Genre | : Mathematics |
ISBN | : 1402003463 |
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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.
Brauer Groups Hopf Algebras and Galois Theory
Author | : Stefaan Caenepeel |
Publsiher | : Springer |
Total Pages | : 0 |
Release | : 2002-04-14 |
Genre | : Mathematics |
ISBN | : 9401590389 |
Download Brauer Groups Hopf Algebras and Galois Theory Book in PDF, Epub and Kindle
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.
Hopf Algebras and Galois Theory
Author | : Stephen U. Chase,Moss E. Sweedler |
Publsiher | : Springer |
Total Pages | : 139 |
Release | : 2007-01-05 |
Genre | : Mathematics |
ISBN | : 9783540361343 |
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Rings Hopf Algebras and Brauer Groups
Author | : Stefaan Caenepeel |
Publsiher | : CRC Press |
Total Pages | : 352 |
Release | : 2020-09-29 |
Genre | : Mathematics |
ISBN | : 9781000153286 |
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"Based on papers presented at a recent international conference on algebra and algebraic geometry held jointly in Antwerp and Brussels, Belgium. Presents both survey and research articles featuring new results from the intersection of algebra and geometry. "
Hopf Algebras and Galois Theory
Author | : Stephen U. Chase,Moss E. Sweedler |
Publsiher | : Unknown |
Total Pages | : 144 |
Release | : 2014-01-15 |
Genre | : Electronic Book |
ISBN | : 366218690X |
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Galois Theory Hopf Algebras and Semiabelian Categories
Author | : George Janelidze |
Publsiher | : American Mathematical Soc. |
Total Pages | : 582 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : 9780821832905 |
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This volume is based on talks given at the Workshop on Categorical Structures for Descent and Galois Theory, Hopf Algebras, and Semiabelian Categories held at The Fields Institute for Research in Mathematical Sciences (Toronto, ON, Canada). The meeting brought together researchers working in these interrelated areas. This collection of survey and research papers gives an up-to-date account of the many current connections among Galois theories, Hopf algebras, and semiabeliancategories. The book features articles by leading researchers on a wide range of themes, specifically, abstract Galois theory, Hopf algebras, and categorical structures, in particular quantum categories and higher-dimensional structures. Articles are suitable for graduate students and researchers,specifically those interested in Galois theory and Hopf algebras and their categorical unification.
Galois Theory Rings Algebraic Groups and Their Applications
Author | : Simeon Ivanov |
Publsiher | : American Mathematical Soc. |
Total Pages | : 290 |
Release | : 1992 |
Genre | : Mathematics |
ISBN | : 0821831402 |
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This collection consists of original work on Galois theory, rings and algebras, algebraic geometry, group representations, algebraic K—theory and some of their applications.
Hopf Algebras and Galois Theory Two
![Hopf Algebras and Galois Theory Two](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : U. Chase,M. E. Sweedler |
Publsiher | : Unknown |
Total Pages | : 135 |
Release | : 1969-05 |
Genre | : Electronic Book |
ISBN | : 038704616X |
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