Brauer Groups Hopf Algebras And Galois Theory
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Brauer Groups Hopf Algebras And Galois Theory
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Author : Stefaan Caenepeel
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-03-31
Brauer Groups Hopf Algebras And Galois Theory written by Stefaan Caenepeel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-03-31 with Mathematics categories.
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
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Author : Stefaan Caenepeel
language : en
Publisher: Springer
Release Date : 2002-04-14
Brauer Groups Hopf Algebras And Galois Theory written by Stefaan Caenepeel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-04-14 with Mathematics categories.
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
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Author : Stephen U. Chase
language : en
Publisher: Springer
Release Date : 2007-01-05
Hopf Algebras And Galois Theory written by Stephen U. Chase and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-05 with Mathematics categories.
Rings Hopf Algebras And Brauer Groups
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Author : Stefaan Caenepeel
language : en
Publisher: CRC Press
Release Date : 2020-09-29
Rings Hopf Algebras And Brauer Groups written by Stefaan Caenepeel and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-29 with Mathematics categories.
"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
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Author : Stephen U. Chase
language : en
Publisher:
Release Date : 2014-01-15
Hopf Algebras And Galois Theory written by Stephen U. Chase and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Quasi Hopf Algebras
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Author : Daniel Bulacu
language : en
Publisher: Cambridge University Press
Release Date : 2019-02-21
Quasi Hopf Algebras written by Daniel Bulacu and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-21 with Mathematics categories.
This self-contained book dedicated to Drinfeld's quasi-Hopf algebras takes the reader from the basics to the state of the art.
Galois Theory Rings Algebraic Groups And Their Applications
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Author : Simeon Ivanov
language : en
Publisher: American Mathematical Soc.
Release Date : 1992
Galois Theory Rings Algebraic Groups And Their Applications written by Simeon Ivanov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
This collection consists of original work on Galois theory, rings and algebras, algebraic geometry, group representations, algebraic K—theory and some of their applications.
Brauer Groups
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Author : D. Zelinsky
language : en
Publisher: Springer
Release Date : 2006-11-14
Brauer Groups written by D. Zelinsky and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
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Galois Theory Hopf Algebras And Semiabelian Categories
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Author : George Janelidze
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
Galois Theory Hopf Algebras And Semiabelian Categories written by George Janelidze and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
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.
Hopf Algebras And Galois Theory Two
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Author : U. Chase
language : en
Publisher:
Release Date : 1969-05
Hopf Algebras And Galois Theory Two written by U. Chase and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969-05 with categories.