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Groups, Rings and Group Rings

Groups, Rings and Group Rings PDF Author: A. Giambruno
Publisher: American Mathematical Soc.
ISBN: 0821847716
Category : Mathematics
Languages : en
Pages : 283

Book Description
Represents the proceedings of the conference on Groups, Rings and Group Rings, held July 28 - August 2, 2008, in Ubatuba, Brazil. This title contains results in active research areas in the theory of groups, group rings and algebras (including noncommutative rings), polynomial identities, Lie algebras and superalgebras.

Groups, Rings and Group Rings

Groups, Rings and Group Rings PDF Author: A. Giambruno
Publisher: American Mathematical Soc.
ISBN: 0821847716
Category : Mathematics
Languages : en
Pages : 283

Book Description
Represents the proceedings of the conference on Groups, Rings and Group Rings, held July 28 - August 2, 2008, in Ubatuba, Brazil. This title contains results in active research areas in the theory of groups, group rings and algebras (including noncommutative rings), polynomial identities, Lie algebras and superalgebras.

Hopf Algebras and Their Actions on Rings

Hopf Algebras and Their Actions on Rings PDF Author: Susan Montgomery
Publisher: American Mathematical Soc.
ISBN: 0821807382
Category : Mathematics
Languages : en
Pages : 258

Book Description
The last ten years have seen a number of significant advances in Hopf algebras. The best known is the introduction of quantum groups, which are Hopf algebras that arose in mathematical physics and now have connections to many areas of mathematics. In addition, several conjectures of Kaplansky have been solved, the most striking of which is a kind of Lagrange's theorem for Hopf algebras. Work on actions of Hopf algebras has unified earlier results on group actions, actions of Lie algebras, and graded algebras. This book brings together many of these recent developments from the viewpoint of the algebraic structure of Hopf algebras and their actions and coactions. Quantum groups are treated as an important example, rather than as an end in themselves. The two introductory chapters review definitions and basic facts; otherwise, most of the material has not previously appeared in book form. Providing an accessible introduction to Hopf algebras, this book would make an excellent graduate textbook for a course in Hopf algebras or an introduction to quantum groups.

Groups, Rings, Group Rings, and Hopf Algebras

Groups, Rings, Group Rings, and Hopf Algebras PDF Author: Jeffrey Bergen
Publisher: American Mathematical Soc.
ISBN: 1470428059
Category : Mathematics
Languages : en
Pages : 294

Book Description
This volume contains the proceedings of the International Conference on Groups, Rings, Group Rings, and Hopf Algebras, held October 2–4, 2015 at Loyola University, Chicago, IL, and the AMS Special Session on Groups, Rings, Group Rings, and Hopf Algebras, held October 3–4, 2015, at Loyola University, Chicago, IL. Both conferences were held in honor of Donald S. Passman's 75th Birthday. Centered in the area of group rings and algebras, this volume contains a mixture of cutting edge research topics in group theory, ring theory, algebras and their representations, Hopf algebras and quantum groups.

An Introduction to Hopf Algebras

An Introduction to Hopf Algebras PDF Author: Robert G. Underwood
Publisher: Springer Science & Business Media
ISBN: 0387727655
Category : Mathematics
Languages : en
Pages : 283

Book Description
Only book on Hopf algebras aimed at advanced undergraduates

Groups, Rings, Lie and Hopf Algebras

Groups, Rings, Lie and Hopf Algebras PDF Author:
Publisher: Springer Science & Business Media
ISBN: 9781402012204
Category : Mathematics
Languages : en
Pages : 266

Book Description
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

Groups, Rings, Lie and Hopf Algebras PDF Author: Y. Bahturin
Publisher: Springer Science & Business Media
ISBN: 1461302358
Category : Mathematics
Languages : en
Pages : 240

Book Description
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.

Quantum Groups

Quantum Groups PDF Author: Ross Street
Publisher: Cambridge University Press
ISBN: 1139461443
Category : Mathematics
Languages : en
Pages : 160

Book Description
Algebra has moved well beyond the topics discussed in standard undergraduate texts on 'modern algebra'. Those books typically dealt with algebraic structures such as groups, rings and fields: still very important concepts! However Quantum Groups: A Path to Current Algebra is written for the reader at ease with at least one such structure and keen to learn algebraic concepts and techniques. A key to understanding these new developments is categorical duality. A quantum group is a vector space with structure. Part of the structure is standard: a multiplication making it an 'algebra'. Another part is not in those standard books at all: a comultiplication, which is dual to multiplication in the precise sense of category theory, making it a 'coalgebra'. While coalgebras, bialgebras and Hopf algebras have been around for half a century, the term 'quantum group', along with revolutionary new examples, was launched by Drinfel'd in 1986.

Lectures on Algebraic Quantum Groups

Lectures on Algebraic Quantum Groups PDF Author: Ken Brown
Publisher: Birkhäuser
ISBN: 303488205X
Category : Mathematics
Languages : en
Pages : 339

Book Description
This book consists of an expanded set of lectures on algebraic aspects of quantum groups. It particularly concentrates on quantized coordinate rings of algebraic groups and spaces and on quantized enveloping algebras of semisimple Lie algebras. Large parts of the material are developed in full textbook style, featuring many examples and numerous exercises; other portions are discussed with sketches of proofs, while still other material is quoted without proof.

Rings, Hopf Algebras, and Brauer Groups

Rings, Hopf Algebras, and Brauer Groups PDF Author: Stefaan Caenepeel
Publisher: CRC Press
ISBN: 1000153282
Category : Mathematics
Languages : en
Pages : 352

Book Description
"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. "

Groups, Rings and Algebras

Groups, Rings and Algebras PDF Author: Donald S. Passman
Publisher: American Mathematical Soc.
ISBN: 0821839047
Category : Mathematics
Languages : en
Pages : 314

Book Description
This is a companion volume to the conference in honor of Donald S. Passman held in Madison, Wisconsin in June 2005. It contains research papers on Algebras, Group Rings, Hopf Algebras, Invariant Theory, Lie Algebras and their Enveloping Algebras, Noncommutative Algebraic Geometry, Noncommutative Rings, and other topics. The papers represent an important part of the latest research in these areas.