Rings Hopf Algebras And Brauer Groups
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Rings Hopf Algebras and Brauer Groups
Author | : Stefaan Caenepeel |
Publsiher | : CRC Press |
Total Pages | : 135 |
Release | : 2020-09-30 |
Genre | : Mathematics |
ISBN | : 9781000116731 |
Download Rings Hopf Algebras and Brauer Groups Book in PDF, Epub and Kindle
"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. "
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 |
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.
Rings Hopf Algebras and Brauer Groups
Author | : Stefaan Caenepeel |
Publsiher | : CRC Press |
Total Pages | : 352 |
Release | : 2020-09-29 |
Genre | : Mathematics |
ISBN | : 9781000153286 |
Download Rings Hopf Algebras and Brauer Groups Book in PDF, Epub and Kindle
"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. "
Brauer Groups and the Cohomology of Graded Rings
Author | : Stefaan Caenepeel |
Publsiher | : CRC Press |
Total Pages | : 283 |
Release | : 2020-08-27 |
Genre | : Mathematics |
ISBN | : 9781000147216 |
Download Brauer Groups and the Cohomology of Graded Rings Book in PDF, Epub and Kindle
This book introduces various notions defined in graded terms extending the notions most frequently used as basic ingredients in the theory of Azumaya algebras: separability and Galois extensions of commutative rings, crossed products and Galois cohomology, Picard groups, and the Brauer group.
Algebras Rings and Modules
Author | : Michiel Hazewinkel,Nadezhda Mikhaĭlovna Gubareni,Vladimir V. Kirichenko |
Publsiher | : American Mathematical Soc. |
Total Pages | : 425 |
Release | : 2010 |
Genre | : Mathematics |
ISBN | : 9780821852620 |
Download Algebras Rings and Modules Book in PDF, Epub and Kindle
Presenting an introduction to the theory of Hopf algebras, the authors also discuss some important aspects of the theory of Lie algebras. This book includes a chapters on the Hopf algebra of symmetric functions, the Hopf algebra of representations of the symmetric groups, the Hopf algebras of the nonsymmetric and quasisymmetric functions, and the Hopf algebra of permutations.
Groups Rings Lie and Hopf Algebras
Author | : Y. Bahturin |
Publsiher | : Springer Science & Business Media |
Total Pages | : 240 |
Release | : 2013-12-01 |
Genre | : Mathematics |
ISBN | : 9781461302353 |
Download Groups Rings Lie and Hopf Algebras Book in PDF, Epub and Kindle
The volume is almost entirely composed of the research and expository papers by the participants of the International Workshop "Groups, Rings, Lie and Hopf Algebras", which was held at the Memorial University of Newfoundland, St. John's, NF, Canada. All four areas from the title of the workshop are covered. In addition, some chapters touch upon the topics, which belong to two or more areas at the same time. Audience: The readership targeted includes researchers, graduate and senior undergraduate students in mathematics and its applications.
Groups Rings Lie and Hopf Algebras
Author | : Anonim |
Publsiher | : Springer Science & Business Media |
Total Pages | : 266 |
Release | : 2003-03-31 |
Genre | : Mathematics |
ISBN | : 1402012209 |
Download Groups Rings Lie and Hopf Algebras Book in PDF, Epub and Kindle
The volume is almost entirely composed of the research and expository papers by the participants of the International Workshop "Groups, Rings, Lie and Hopf Algebras", which was held at the Memorial University of Newfoundland, St. John's, NF, Canada. All four areas from the title of the workshop are covered. In addition, some chapters touch upon the topics, which belong to two or more areas at the same time. Audience: The readership targeted includes researchers, graduate and senior undergraduate students in mathematics and its applications.
Brauer Groups
Author | : D. Zelinsky |
Publsiher | : Springer |
Total Pages | : 193 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 9783540379782 |
Download Brauer Groups Book in PDF, Epub and Kindle
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