Compact Matrix Quantum Groups and Their Combinatorics, Amaury Freslon
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: Freslon, Amaury (universite Paris-saclay) Название: Compact matrix quantum groups and their combinatorics ISBN: 1009345699 ISBN-13(EAN): 9781009345699 Издательство: Cambridge Academ Рейтинг: Цена: 6334.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An organised step-by-step introduction to the theory of compact quantum groups, starting with examples coming from quantum physics, which stems from the basic undergraduate mathematics curriculum. Introducing more abstract concepts along the way when needed, the reader is led from the fundamentals of the theory to recent research results. The emphasis is put on the combinatorics underlying compact quantum groups, which is very elementary to describe but leads to profound results. This book includes many exercises to help students work through new concepts and ideas and consolidate their understanding. The theory itself is illustrated by an array of examples, some related to other fields of Mathematics such as free probability theory or graph theory. The book is intended for graduate students, motivated undergraduate students and researchers.
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: 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: Tanasa, Adrian Название: Combinatorial Physics ISBN: 0192895494 ISBN-13(EAN): 9780192895493 Издательство: Oxford Academ Рейтинг: Цена: 18216.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The goal of the book is to use combinatorial techniques to solve fundamental physics problems, and vice-versa, to use theoretical physics techniques to solve combinatorial problems.
Автор: Saccoman John T., Suffel Charles L., Gross Daniel Название: Spanning Tree Results for Graphs and Multigraphs: A Matrix-Theoretic Approach ISBN: 9814566039 ISBN-13(EAN): 9789814566032 Издательство: World Scientific Publishing Рейтинг: Цена: 11246.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book is concerned with the optimization problem of maximizing the number of spanning trees of a multigraph. Since a spanning tree is a minimally connected subgraph, graphs and multigraphs having more of these are, in some sense, immune to disconnection by edge failure. We employ a matrix-theoretic approach to the calculation of the number of spanning trees.
The authors envision this as a research aid that is of particular interest to graduate students or advanced undergraduate students and researchers in the area of network reliability theory. This would encompass graph theorists of all stripes, including mathematicians, computer scientists, electrical and computer engineers, and operations researchers.
Errata(s)
Автор: Evans Название: Orthogonal Latin Squares Based on Groups ISBN: 3319944290 ISBN-13(EAN): 9783319944296 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph presents a unified exposition of latin squares and mutually orthogonal sets of latin squares based on groups. The text begins by introducing fundamental concepts, like the tests for determining whether a latin square is based on a group, as well as orthomorphisms and complete mappings.
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: Val?rie Berth?; Michel Rigo Название: Sequences, Groups, and Number Theory ISBN: 3030098745 ISBN-13(EAN): 9783030098742 Издательство: Springer Рейтинг: Цена: 25155.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This collaborative book presents recent trends on the study of sequences, including combinatorics on words and symbolic dynamics, and new interdisciplinary links to group theory and number theory. Other chapters branch out from those areas into subfields of theoretical computer science, such as complexity theory and theory of automata. The book is built around four general themes: number theory and sequences, word combinatorics, normal numbers, and group theory. Those topics are rounded out by investigations into automatic and regular sequences, tilings and theory of computation, discrete dynamical systems, ergodic theory, numeration systems, automaton semigroups, and amenable groups.
This volume is intended for use by graduate students or research mathematicians, as well as computer scientists who are working in automata theory and formal language theory. With its organization around unified themes, it would also be appropriate as a supplemental text for graduate level courses.
Автор: Matthew C. H. Tointon Название: Introduction to Approximate Groups ISBN: 1108470734 ISBN-13(EAN): 9781108470735 Издательство: Cambridge Academ Рейтинг: Цена: 10613.00 р. Наличие на складе: Есть у поставщика 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: 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.
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