Compact matrix quantum groups and their combinatorics, Freslon, Amaury (universite Paris-saclay)
Автор: Baker, Andrew Название: Matrix Groups ISBN: 1852334703 ISBN-13(EAN): 9781852334703 Издательство: Springer Рейтинг: Цена: 4890.00 р. Наличие на складе: Нет в наличии.
Описание: Aimed at advanced undergraduate and beginning graduate students, this book provides a first taste of the theory of Lie groups as an appetiser for a more substantial further course. Lie theoretic ideas lie at the heart of much of standard undergraduate linear algebra and exposure to them can inform or motivate the study of the latter.The main focus is on matrix groups, i.e., closed subgroups of real and complex general linear groups. The first part studies examples and describes the classical families of simply connected compact groups. The second part introduces the idea of a lie group and studies the associated notion of a homogeneous space using orbits of smooth actions.Throughout, the emphasis is on providing an approach that is accessible to readers equipped with a standard undergraduate toolkit of algebra and analysis. Although the formal prerequisites are kept as low level as possible, the subject matter is sophisticated and contains many of the key themes of the fully developed theory, preparing students for a more standard and abstract course in Lie theory and differential geometry.
Автор: Michel Enock; A. Connes; A. Ocneanu; Jean-Marie Sc Название: Kac Algebras and Duality of Locally Compact Groups ISBN: 3540547452 ISBN-13(EAN): 9783540547457 Издательство: Springer Рейтинг: Цена: 18161.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Develops the category of Kac algebras that answers the original duality problem. This book is of interest to researchers working in quantum groups, particularly those interested in the approach by Lie groups and Lie algebras or by non-commutative geometry, and more generally also to those working in C* algebras or theoretical physics.
Автор: Godsil, Chris (university Of Waterloo, Ontario) Zhan, Hanmeng (simon Fraser University, British Columbia) Название: Discrete quantum walks on graphs and digraphs ISBN: 1009261681 ISBN-13(EAN): 9781009261685 Издательство: Cambridge Academ Рейтинг: Цена: 9821.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Discrete quantum walks are quantum analogues of classical random walks. They are an important tool in quantum computing and a number of algorithms can be viewed as discrete quantum walks, in particular Grover's search algorithm. These walks are constructed on an underlying graph, and so there is a relation between properties of walks and properties of the graph. This book studies the mathematical problems that arise from this connection, and the different classes of walks that arise. Written at a level suitable for graduate students in mathematics, the only prerequisites are linear algebra and basic graph theory; no prior knowledge of physics is required. The text serves as an introduction to this important and rapidly developing area for mathematicians and as a detailed reference for computer scientists and physicists working on quantum information theory.
Автор: Volker Diekert, Manfred Kufleitner, Gerhard Rosenberger, Ulrich Hertrampf Название: Discrete Algebraic Methods: Arithmetic, Cryptography, Automata and Groups ISBN: 3110413329 ISBN-13(EAN): 9783110413328 Издательство: Walter de Gruyter Цена: 6499.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The idea behind this book is to provide the mathematical foundations for assessing modern developments in the Information Age. It deepens and complements the basic concepts, but it also considers instructive and more advanced topics. The treatise starts with a general chapter on algebraic structures; this part provides all the necessary knowledge for the rest of the book. The next chapter gives a concise overview of cryptography. Chapter 3 on number theoretic algorithms is important for developping cryptosystems, Chapter 4 presents the deterministic primality test of Agrawal, Kayal, and Saxena. The account to elliptic curves again focuses on cryptographic applications and algorithms. With combinatorics on words and automata theory, the reader is introduced to two areas of theoretical computer science where semigroups play a fundamental role.The last chapter is devoted to combinatorial group theory and its connections to automata. Contents:Algebraic structuresCryptographyNumber theoretic algorithmsPolynomial time primality testElliptic curvesCombinatorics on wordsAutomataDiscrete infinite groups
Автор: Ceccherini-Silberstein Название: Groups, Graphs and Random Walks ISBN: 1316604403 ISBN-13(EAN): 9781316604403 Издательство: Cambridge Academ Рейтинг: Цена: 11880.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An accessible and panoramic account of the theory of random walks on groups and graphs, stressing the connections with other branches of mathematics. Covering topics from growth and amenability of groups, Schroedinger operators, and Poisson boundaries, this book provides a valuable and up-to-date reference for both researchers and graduates.
Автор: Tointon, Matthew C. H. (university Of Cambridge) Название: London mathematical society student texts ISBN: 1108456448 ISBN-13(EAN): 9781108456449 Издательство: Cambridge Academ Рейтинг: Цена: 4118.00 р. Наличие на складе: Поставка под заказ.
Описание: Recent years have seen rapid progress in the field of approximate groups, with the emergence of a varied range of applications. Written by a leader in the field, this text for both beginning graduate students and researchers collects, for the first time in book form, the main concepts and techniques into a single, self-contained introduction.
Автор: Marcelo Aguiar, Swapneel Mahajan Название: Bimonoids for Hyperplane Arrangements ISBN: 110849580X ISBN-13(EAN): 9781108495806 Издательство: Cambridge Academ Рейтинг: Цена: 28037.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Suitable for graduate students and researchers in diverse areas of mathematics, this monograph offers a new perspective on the classical theory of connected Hopf algebras, and extends it to a new setting where a real hyperplane arrangement is a central feature.
Автор: Anthony Joseph Название: Quantum Groups and Their Primitive Ideals ISBN: 364278402X ISBN-13(EAN): 9783642784026 Издательство: Springer Рейтинг: Цена: 12577.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: by a more general quadratic algebra (possibly obtained by deformation) and then to derive Rq [G] by requiring it to possess the latter as a comodule. Drinfeld found that it could be essentially made to work for the "Borel part" of Uq(g) denoted U (b) and further found a general construction (the Drinfeld double) q mirroring a Lie bialgebra.
Автор: Woit, Peter Название: Quantum theory, groups and representations ISBN: 3319878352 ISBN-13(EAN): 9783319878355 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The level of presentation is attractive to mathematics students looking to learn about both quantum mechanics and representation theory, while also appealing to physics students who would like to know more about the mathematics underlying the subject.
Автор: Mark R. Sepanski Название: Compact Lie Groups ISBN: 1441921389 ISBN-13(EAN): 9781441921383 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Blending algebra, analysis, and topology, the study of compact Lie groups is one of the most beautiful areas of mathematics and a key stepping stone to the theory of general Lie groups. Assuming no prior knowledge of Lie groups, this book covers the structure and representation theory of compact Lie groups. Included is the construction of the Spin groups, Schur Orthogonality, the Peter-Weyl Theorem, the Plancherel Theorem, the Maximal Torus Theorem, the Commutator Theorem, the Weyl Integration and Character Formulas, the Highest Weight Classification, and the Borel-Weil Theorem. The necessary Lie algebra theory is also developed in the text with a streamlined approach focusing on linear Lie groups.
Key Features are: - Provides an approach that minimizes advanced prerequisites; - Self-contained and systematic exposition requiring no previous exposure to Lie theory; -Advances quickly to the Peter-Weyl Theorem and its corresponding Fourier theory; - Streamlined Lie algebra discussion reduces the differential geometry prerequisite and allows a more rapid transition to the classification and construction of representations - Exercises sprinkled throughout.
This beginning graduate level text, aimed primarily at Lie Groups courses and related topics, assumes familiarity with elementary concepts from group theory, analysis, and manifold theory. Students, research mathematicians, and physicists interested in Lie theory will find this text very useful.
Автор: J?rg Fr?hlich; Thomas Kerler Название: Quantum Groups, Quantum Categories and Quantum Field Theory ISBN: 3540566236 ISBN-13(EAN): 9783540566236 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Reviews recent results in low-dimensional quantum field theories and their connection with quantum group theory and the theory of braided, balanced tensor categories. It presents detailed, mathematically precise introductions to these subjects and then continues with new results.
Описание: Solves the problem of determining which S-arithmetic groups have a finite presentation for arbitrary linear algebraic groups over finite extension fields of #3. This book is suitable for readers working on infinite groups, topological groups, and algebraic and arithmetic groups.
ООО "Логосфера " Тел:+7(495) 980-12-10 www.logobook.ru
