Groups, Rings, Group Rings, and Hopf Algebras, Jeffrey Bergen, Stefan Catoiu, William Chin

Автор: Robert G. Underwood
Название: An Introduction to Hopf Algebras
ISBN: 1489997849 ISBN-13(EAN): 9781489997845
Издательство: Springer
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Цена: 55890.00 T
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Описание: This book offers a unique self-contained introduction to group and ring theory, and thoroughly treats the concept of the spectrum of a ring and the Zariski topology, helping the reader transition smoothly from basic abstract algebra to Hopf algebras.

Название: Hopf Algebras, Quantum Groups and Yang-Baxter Equations
ISBN: 3038973246 ISBN-13(EAN): 9783038973249
Издательство: Неизвестно
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Цена: 62680.00 T
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Описание:

The Yang-Baxter equation first appeared in theoretical physics, in a paper by the Nobel laureate C.N. Yang and in the work of R.J. Baxter in the field of Statistical Mechanics. At the 1990 International Mathematics Congress, Vladimir Drinfeld, Vaughan F. R. Jones, and Edward Witten were awarded Fields Medals for their work related to the Yang-Baxter equation. It turned out that this equation is one of the basic equations in mathematical physics; more precisely, it is used for introducing the theory of quantum groups. It also plays a crucial role in: knot theory, braided categories, the analysis of integrable systems, non-commutative descent theory, quantum computing, non-commutative geometry, etc. Many scientists have used the axioms of various algebraic structures (quasi-triangular Hopf algebras, Yetter-Drinfeld categories, quandles, group actions, Lie (super)algebras, brace structures, (co)algebra structures, Jordan triples, Boolean algebras, relations on sets, etc.) or computer calculations (and Grobner bases) in order to produce solutions for the Yang-Baxter equation. However, the full classification of its solutions remains an open problem. At present, the study of solutions of the Yang-Baxter equation attracts the attention of a broad circle of scientists. The current volume highlights various aspects of the Yang-Baxter equation, related algebraic structures, and applications.

Автор: Underwood Robert
Название: Fundamentals of Hopf Algebras
ISBN: 3319189905 ISBN-13(EAN): 9783319189901
Издательство: Springer
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Цена: 46570.00 T
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Описание: This text aims to provide graduate students with a self-contained introduction to topics that are at the forefront of modern algebra, namely, coalgebras, bialgebras and Hopf algebras. Chapter 3 discusses Hopf algebras and Chapter 4 consists of three applications of Hopf algebras.

Автор: Balachandran Aiyalam P Et Al
Название: Group Theory And Hopf Algebras: Lectures For Physicists
ISBN: 9814322202 ISBN-13(EAN): 9789814322201
Издательство: World Scientific Publishing
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Цена: 77090.00 T
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Описание: Suitable for graduate students and research workers in theoretical physics who want a thorough introduction to group theory and Hopf algebras, this title discusses finite and Lie groups as well as Hopf algebras.

Автор: Daniel Bulacu, Stefaan Caenepeel, Florin Panaite, Freddy Van Oystaeyen
Название: Quasi-Hopf Algebras: A Categorical Approach
ISBN: 1108427014 ISBN-13(EAN): 9781108427012
Издательство: Cambridge Academ
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Цена: 142560.00 T
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Описание: This self-contained book is the first to be dedicated entirely to Drinfeld`s quasi-Hopf algebras, from the basics to the state of the art. It includes a detailed introduction to (braided) monoidal categories, the main tool used to study quasi-Hopf algebras. It is ideal for graduate students and researchers in mathematics and mathematical physics.

Автор: Y. Bahturin
Название: Groups, Rings, Lie and Hopf Algebras
ISBN: 1461379547 ISBN-13(EAN): 9781461379546
Издательство: Springer
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Цена: 74530.00 T
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Описание: 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.

Автор: Y. Bahturin
Название: Groups, Rings, Lie and Hopf Algebras
ISBN: 1402012209 ISBN-13(EAN): 9781402012204
Издательство: Springer
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Цена: 88500.00 T
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Описание: 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. This work is suitable for researchers, graduate and senior undergraduate students in mathematics and its applications.

Автор: Marcelo Aguiar, Swapneel Mahajan
Название: Coxeter Groups and Hopf Algebras
ISBN: 0821853546 ISBN-13(EAN): 9780821853542
Издательство: Mare Nostrum (Eurospan)
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Цена: 61910.00 T
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Описание: An important idea in the work of G.-C. Rota is that certain combinatorial objects give rise to Hopf algebras that reflect the manner in which these objects compose and decompose. Recent work has seen the emergence of several interesting Hopf algebras of this kind, which connect diverse subjects such as combinatorics, algebra, geometry, and theoretical physics. This monograph presents a novel geometric approach using Coxeter complexes and the projection maps of Tits for constructing and studying many of these objects as well as new ones. The first three chapters introduce the necessary background ideas making this work accessible to advanced graduate students. The later chapters culminate in a unified and conceptual construction of several Hopf algebras based on combinatorial objects which emerge naturally from the geometric viewpoint. This work lays a foundation and provides new insights for further development of the subject.

Автор: Stefaan Caenepeel
Название: Brauer Groups, Hopf Algebras and Galois Theory
ISBN: 1402003463 ISBN-13(EAN): 9781402003462
Издательство: Springer
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Цена: 69870.00 T
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Описание: Devoted to the Brauer group of a commutative ring and related invariants. This volume includes the development of the theory of Grothendieck topologies and etale cohomology. It has a discussion of topics such as Gabber`s theorem and the theory of Taylor`s big Brauer group of algebras. It also offers the development of the Galois theory.

Автор: Radford David E
Название: Hopf Algebras
ISBN: 9814335991 ISBN-13(EAN): 9789814335997
Издательство: World Scientific Publishing
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Цена: 195360.00 T
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Описание: Provides a detailed account of basic coalgebra and Hopf algebra theory with emphasis on Hopf algebras which are pointed, semisimple, quasitriangular, or are of certain other quantum groups. This title is intended to be a graduate text as well as a research monograph.

Автор: Yorck Sommerhauser, Yongchang Zhu
Название: Hopf Algebras and Congruence Subgroups
ISBN: 0821869132 ISBN-13(EAN): 9780821869130
Издательство: Mare Nostrum (Eurospan)
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Цена: 72070.00 T
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Описание: "September 2012, volume 219, number 1028 (first of 5 numbers)."