Classical Hopf Algebras and Their Applications, Cartier Pierre, Patras Frйdйric

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: 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: J. E. Marsden; M. McCracken
Название: The Hopf Bifurcation and Its Applications
ISBN: 0387902007 ISBN-13(EAN): 9780387902005
Издательство: Springer
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Цена: 49370.00 T
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Описание: With contributions by numerous experts

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.

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: 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
Наличие на складе: Невозможна поставка.
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: 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: Heckenberger, Istvan Schneider, Hans-jurgen
Название: Hopf algebras and root systems
ISBN: 1470452324 ISBN-13(EAN): 9781470452322
Издательство: Mare Nostrum (Eurospan)
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Цена: 117040.00 T
Наличие на складе: Нет в наличии.
Описание: This book is an introduction to Hopf algebras in braided monoidal categories with applications to Hopf algebras in the usual sense. The main goal of the book is to present from scratch and with complete proofs the theory of Nichols algebras (or quantum symmetric algebras) and the surprising relationship between Nichols algebras and generalized root systems. In general, Nichols algebras are not classified by Cartan graphs and their root systems. However, extending partial results in the literature, the authors were able to associate a Cartan graph to a large class of Nichols algebras. This allows them to determine the structure of right coideal subalgebras of Nichols systems which generalize Nichols algebras.As applications of these results, the book contains a classification of right coideal subalgebras of quantum groups and of the small quantum groups, and a proof of the existence of PBW-bases that does not involve case by case considerations. The authors also include short chapter summaries at the beginning of each chapter and historical notes at the end of each chapter. The theory of Cartan graphs, Weyl groupoids, and generalized root systems appears here for the first time in a book form. Hence, the book serves as an introduction to the modern classification theory of pointed Hopf algebras for advanced graduate students and researchers working in categorial aspects and classification theory of Hopf algebras and their generalization.

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: 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
Наличие на складе: Нет в наличии.
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.