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Coxeter Groups and Hopf Algebras, Marcelo Aguiar, Swapneel Mahajan


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Цена: 61910.00T
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Автор: Marcelo Aguiar, Swapneel Mahajan
Название:  Coxeter Groups and Hopf Algebras
ISBN: 9780821853542
Издательство: Mare Nostrum (Eurospan)
Классификация:


ISBN-10: 0821853546
Обложка/Формат: Paperback
Страницы: 181
Вес: 0.37 кг.
Дата издания: 30.08.2012
Серия: Fields institute monographs
Язык: English
Размер: 229 x 152
Читательская аудитория: Tertiary education (us: college)
Ключевые слова: Discrete mathematics,Algebra,Combinatorics & graph theory
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Поставляется из: Англии
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.

An Introduction to 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.

Fundamentals of Hopf Algebras

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.

Combinatorics of Coxeter Groups

Автор: Anders Bjorner; Francesco Brenti
Название: Combinatorics of Coxeter Groups
ISBN: 3642079229 ISBN-13(EAN): 9783642079221
Издательство: Springer
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Цена: 69870.00 T
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Описание: Includes a rich variety of exercises to accompany the exposition of Coxeter groups Coxeter groups have already been exposited from algebraic and geometric perspectives, but this book will be presenting the combinatorial aspects of Coxeter groups

Notes on Coxeter Transformations and the McKay Correspondence

Автор: Rafael Stekolshchik
Название: Notes on Coxeter Transformations and the McKay Correspondence
ISBN: 3642096042 ISBN-13(EAN): 9783642096044
Издательство: Springer
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Цена: 97820.00 T
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Описание: Here is a key text on the subject of representation theory in finite groups. The pages of this excellent little book, prepared by Rafael Stekolshchik, contain a number of new proofs relating to Coxeter Transformations and the McKay Correspondence. Ponomarev, as well as material from Coxeter and McKay themselves.

Brauer Groups, Hopf Algebras and Galois Theory

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.

Hopf Algebras, Quantum Groups and Yang-Baxter Equations

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.


Groups, Rings, Lie and Hopf Algebras

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.

Groups, Rings, Group Rings, and Hopf Algebras

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.

Groups, Rings, Lie and Hopf Algebras

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.

Quasi-Hopf Algebras: A Categorical Approach

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.


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