Algebra and Applications 2: Combinatorial Algebra and Hopf Algebras, Makhlouf Abdenacer

Автор: Howard Anton
Название: Elementary Linear Algebra: Applications Version,12th Edition
ISBN: 1119666147 ISBN-13(EAN): 9781119666141
Издательство: Wiley
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Цена: 57010.00 T
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Описание: This volume examines the archaeology of precolonial West African societies in the era of the trans-Atlantic slave trade. Using both historical and archaeological tools, this collection of essays sheds light on how involvement in the commercial revolutions of the early modern period dramatically reshaped the regional contours of political organization across West Africa.

Автор: Gilbert Strang
Название: Linear Algebra and Its Applications, 4th Edition
ISBN: 0030105676 ISBN-13(EAN): 9780030105678
Издательство: Cengage Learning
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Цена: 121160.00 T
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Описание: Demonstrates that linear algebra is a fascinating subject by showing both its beauty and value. This book explains concepts, rather than deduces.

Автор: Lay, David Lay, Steven Mcdonald, Judi
Название: Linear algebra and its applications, global edition 6
ISBN: 1292351217 ISBN-13(EAN): 9781292351216
Издательство: Pearson Education
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Цена: 114830.00 T
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Описание: A comprehensive survey of the quickly developing discipline of cognitive linguistics, its rich methodology, key results, and interdisciplinary context. Providing an accessible overview of research questions, basic concepts, and various theoretical approaches, the Handbook places linguistic facts in the context of gesture studies, neuroscience, computational approaches, and many other fields.

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: Cho, Ilwoo.
Название: Algebras, Graphs and their Applications
ISBN: 146659019X ISBN-13(EAN): 9781466590199
Издательство: Taylor&Francis
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Цена: 193950.00 T
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Описание:

This book introduces the study of algebra induced by combinatorial objects called directed graphs. These graphs are used as tools in the analysis of graph-theoretic problems and in the characterization and solution of analytic problems. The book presents recent research in operator algebra theory connected with discrete and combinatorial mathematical objects. It also covers tools and methods from a variety of mathematical areas, including algebra, operator theory, and combinatorics, and offers numerous applications of fractal theory, entropy theory, K-theory, and index theory.

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
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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: Martin Schlichenmaier
Название: Krichever–Novikov Type Algebras: Theory and Applications
ISBN: 3110265176 ISBN-13(EAN): 9783110265170
Издательство: Walter de Gruyter
Цена: 148700.00 T
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Описание: The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics.While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob. Titles in planning includeFlavia Smarazzo and Alberto Tesei, Measure Theory: Radon Measures, Young Measures, and Applications to Parabolic Problems (2019)Elena Cordero and Luigi Rodino, Time-Frequency Analysis of Operators (2019)Mark M. Meerschaert, Alla Sikorskii, and Mohsen Zayernouri, Stochastic and Computational Models for Fractional Calculus, second edition (2020)Mariusz Lemanczyk, Ergodic Theory: Spectral Theory, Joinings, and Their Applications (2020)Marco Abate, Holomorphic Dynamics on Hyperbolic Complex Manifolds (2021)Miroslava Antic, Joeri Van der Veken, and Luc Vrancken, Differential Geometry of Submanifolds: Submanifolds of Almost Complex Spaces and Almost Product Spaces (2021)Kai Liu, Ilpo Laine, and Lianzhong Yang, Complex Differential-Difference Equations (2021)Rajendra Vasant Gurjar, Kayo Masuda, and Masayoshi Miyanishi, Affine Space Fibrations (2022)

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: 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
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.

Автор: Cartier Pierre, Patras Frйdйric
Название: Classical Hopf Algebras and Their Applications
ISBN: 3030778444 ISBN-13(EAN): 9783030778446
Издательство: Springer
Цена: 121110.00 T
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Описание:

1. Introduction.- Part I General Theory.- 2 Coalgebras, Duality.- 3. Hopf Algebras and Groups.- 4. Structure Theorems.- 5. Graded Hopf Algebras and the Descent Gebra.- 6. PreLie Algebras.- Part II Applications.- 7. Group Theory.- 8. Algebraic Topology.- 9. Combinatorial Hopf Algebras.- 10. Renormalization.