Read and Download eBook Full
Author: Stefaan Caenepeel
Publisher: CRC Press
Published: 2020-09-30
Total Pages:
ISBN-13: 1000116735
DOWNLOAD EBOOK"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. "
Author: Stefaan Caenepeel
Publisher: Springer Science & Business Media
Published: 2002-03-31
Total Pages: 516
ISBN-13: 9781402003462
DOWNLOAD EBOOKThis 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.
Author: Stefaan Caenepeel
Publisher: CRC Press
Published: 2020-09-29
Total Pages: 352
ISBN-13: 1000153282
DOWNLOAD EBOOK"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. "
Author: Michiel Hazewinkel
Publisher: American Mathematical Soc.
Published: 2010
Total Pages: 425
ISBN-13: 0821852620
DOWNLOAD EBOOKPresenting 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.
Author: Y. Bahturin
Publisher: Springer Science & Business Media
Published: 2013-12-01
Total Pages: 240
ISBN-13: 1461302358
DOWNLOAD EBOOKThe 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.
Author:
Publisher: Springer Science & Business Media
Published: 2003-03-31
Total Pages: 266
ISBN-13: 9781402012204
DOWNLOAD EBOOKThe 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.
Author: Stefaan Caenepeel
Publisher: Springer
Published: 2002-04-14
Total Pages: 0
ISBN-13: 9789401590389
DOWNLOAD EBOOKThis 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.
Author: D. Zelinsky
Publisher: Springer
Published: 2006-11-14
Total Pages: 193
ISBN-13: 3540379789
DOWNLOAD EBOOKa
Author: Susan Montgomery
Publisher: American Mathematical Soc.
Published: 1993-01-01
Total Pages: 258
ISBN-13: 9780821889268
DOWNLOAD EBOOKAuthor: Michel Broué
Publisher:
Published: 2024
Total Pages: 0
ISBN-13: 9783031500633
DOWNLOAD EBOOK1 Prerequisites and Preliminaries -- Part I Rings and Modules -- 2 Rings, Polynomials, Divisibility -- 3 Polynomial Rings in Several Indeterminates -- 4 More on Modules -- 5 On Representations of Finite Groups -- Part II Integral Domains, Polynomials, Fields -- 6 Prime and Maximal Ideals, Integral Domains -- 7 Fields, Division Rings -- Part III Finitely Generated Modules -- 8 Integrality, Noetherianity -- 9 Finitely Generated Projective Modules -- 10 Finitely Generated Modules Over Dedekind Domains -- 11 Complement on Dedekind Domains -- Part IV Characteristic Zero Linear Representations of Finite Groups -- 12 Monoidal Categories: An Introduction -- 13 Characteristic 0 Representations -- 14 Playing With the Base Field -- 15 Induction and Restriction: Some Applications to Finite Groups -- 16 Brauer's Theorem and Some Applications -- 17 Graded Representations and Characters -- 18 The Drinfeld-Lusztig Double of a Group Algebra.
