Hopf Algebras, 

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.

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: 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: 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.

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: Boehm, Gabriella
Название: Hopf algebras and their generalizations from a category theoretical point of view
ISBN: 3319981366 ISBN-13(EAN): 9783319981369
Издательство: Springer
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Цена: 41920.00 T
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Описание: These lecture notes provide a self-contained introduction to a wide range of generalizations of Hopf algebras. Multiplication of their modules is described by replacing the category of vector spaces with more general monoidal categories, thereby extending the range of applications.Since Sweedler's work in the 1960s, Hopf algebras have earned a noble place in the garden of mathematical structures. Their use is well accepted in fundamental areas such as algebraic geometry, representation theory, algebraic topology, and combinatorics. Now, similar to having moved from groups to groupoids, it is becoming clear that generalizations of Hopf algebras must also be considered. This book offers a unified description of Hopf algebras and their generalizations from a category theoretical point of view. The author applies the theory of liftings to Eilenberg–Moore categories to translate the axioms of each considered variant of a bialgebra (or Hopf algebra) to a bimonad (or Hopf monad) structure on a suitable functor. Covered structures include bialgebroids over arbitrary algebras, in particular weak bialgebras, and bimonoids in duoidal categories, such as bialgebras over commutative rings, semi-Hopf group algebras, small categories, and categories enriched in coalgebras.Graduate students and researchers in algebra and category theory will find this book particularly useful. Including a wide range of illustrative examples, numerous exercises, and completely worked solutions, it is suitable for self-study.

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: Jeffrey Bergen, Stefan Catoiu, William Chin
Название: Groups, Rings, Group Rings, and Hopf Algebras
ISBN: 1470428059 ISBN-13(EAN): 9781470428051
Издательство: Mare Nostrum (Eurospan)
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Цена: 110880.00 T
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Описание: Contains the proceedings of the International Conference on Groups, Rings, Group Rings, and Hopf Algebras, held October 2015. Focused 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.

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: Nicolas Andruskiewitsch, Dmitri Nikshych
Название: Tensor Categories and Hopf Algebras
ISBN: 147044321X ISBN-13(EAN): 9781470443214
Издательство: Mare Nostrum (Eurospan)
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Цена: 108680.00 T
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Описание: This volume contains the proceedings of the scientific session ``Hopf Algebras and Tensor Categories'', held from July 27-28, 2017, at the Mathematical Congress of the Americas in Montreal, Canada.Papers highlight the latest advances and research directions in the theory of tensor categories and Hopf algebras. Primary topics include classification and structure theory of tensor categories and Hopf algebras, Gelfand-Kirillov dimension theory for Nichols algebras, module categories and weak Hopf algebras, Hopf Galois extensions, graded simple algebras, and bialgebra coverings.

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: 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.