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Quantum Groups and Noncommutative Geometry, Yuri I. Manin


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Автор: Yuri I. Manin
Название:  Quantum Groups and Noncommutative Geometry
ISBN: 9783030074326
Издательство: Springer
Классификация:



ISBN-10: 3030074323
Обложка/Формат: Soft cover
Страницы: 125
Вес: 0.22 кг.
Дата издания: 2018
Серия: CRM Short Courses
Язык: English
Издание: Softcover reprint of
Иллюстрации: 1 illustrations, color; 82 illustrations, black and white; viii, 125 p. 83 illus., 1 illus. in color.
Размер: 165 x 322 x 8
Читательская аудитория: General (us: trade)
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:
This textbook presents the second edition of Manins celebrated 1988 Montreal lectures, which influenced a new generation of researchers in algebra to take up the study of Hopf algebras and quantum groups. In this expanded write-up of those lectures, Manin systematically develops an approach to quantum groups as symmetry objects in noncommutative geometry in contrast to the more deformation-oriented approach due to Faddeev, Drinfeld, and others. This new edition contains an extra chapter by Theo Raedschelders and Michel Van den Bergh, surveying recent work that focuses on the representation theory of a number of bi- and Hopf algebras that were first introduced in Manins lectures, and have since gained a lot of attention. Emphasis is placed on the Tannaka–Krein formalism, which further strengthens Manins approach to symmetry and moduli-objects in noncommutative geometry.

Дополнительное описание: 1. The Quantum Group GL(2).- 2. Bialgebras and Hopf Algebras.- 3. Quadratic Algebras as Quantum Linear Spaces.- 4. Quantum Matrix Spaces. I. Categorical Viewpoint.- 5. Quantum Matrix Spaces. II. Coordinate Approach.- 6. Adding Missing Relations.- 7. From


Noncommutative Algebraic Geometry

Автор: Bellamy
Название: Noncommutative Algebraic Geometry
ISBN: 1107129540 ISBN-13(EAN): 9781107129542
Издательство: Cambridge Academ
Рейтинг:
Цена: 82370.00 T
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Описание: This book provides a comprehensive introduction to some of the most significant interactions between noncommutative algebra and representation theory and classical algebraic geometry, including noncommutative projective algebraic geometry, deformation theory, symplectic reflection algebras, and noncommutative resolutions of singularities.

Quantum Field Theory and Noncommutative Geometry

Автор: Ursula Carow-Watamura; Yoshiaki Maeda; Satoshi Wat
Название: Quantum Field Theory and Noncommutative Geometry
ISBN: 3642062873 ISBN-13(EAN): 9783642062872
Издательство: Springer
Рейтинг:
Цена: 73990.00 T
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Описание: This volume reflects the growing collaboration between mathematicians and theoretical physicists to treat the foundations of quantum field theory using the mathematical tools of q-deformed algebras and noncommutative differential geometry.

Noncommutative Geometry and Optimal Transport

Автор: Pierre Martinetti, Jean-Christophe Wallet
Название: Noncommutative Geometry and Optimal Transport
ISBN: 1470422972 ISBN-13(EAN): 9781470422974
Издательство: Mare Nostrum (Eurospan)
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Цена: 108110.00 T
Наличие на складе: Невозможна поставка.
Описание: Contains the proceedings of the Workshop on Noncommutative Geometry and Optimal Transport, held in November 2014. This volume contains several review papers that will give the reader an extensive introduction to the metric aspect of noncommutative geometry and its possible interpretation as a Wasserstein distance on a quantum space, as well as several topic papers.

Noncommutative Geometry,

Автор: Alain Connes
Название: Noncommutative Geometry,
ISBN: 012185860X ISBN-13(EAN): 9780121858605
Издательство: Elsevier Science
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Цена: 59500.00 T
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Описание: Reveals what noncommutative geometry is, what it can do, or how it can be used in various areas of mathematics, quantization, and elementary particles and fields. This work presents an approach to measure theory, geometry, and mathematical physics. It includes features such as: space of Penrose tilings; space of leaves of a foliation; and more.

Noncommutative Geometry: A Functorial Approach

Автор: Igor V. Nikolaev
Название: Noncommutative Geometry: A Functorial Approach
ISBN: 3110543176 ISBN-13(EAN): 9783110543179
Издательство: Walter de Gruyter
Цена: 123910.00 T
Наличие на складе: Невозможна поставка.
Описание:

This book covers the basics of noncommutative geometry (NCG) and its applications in topology, algebraic geometry, and number theory. The author takes up the practical side of NCG and its value for other areas of mathematics. A brief survey of the main parts of NCG with historical remarks, bibliography, and a list of exercises is included. The presentation is intended for graduate students and researchers with interests in NCG, but will also serve nonexperts in the field.

Contents
Part I: Basics
Model examples
Categories and functors
C∗-algebras

Part II: Noncommutative invariants
Topology
Algebraic geometry
Number theory

Part III: Brief survey of NCG
Finite geometries
Continuous geometries
Connes geometries
Index theory
Jones polynomials
Quantum groups
Noncommutative algebraic geometry
Trends in noncommutative geometry


Noncommutative Motives

Автор: Goncalo Tabuada
Название: Noncommutative Motives
ISBN: 1470423979 ISBN-13(EAN): 9781470423971
Издательство: Mare Nostrum (Eurospan)
Рейтинг:
Цена: 44350.00 T
Наличие на складе: Невозможна поставка.
Описание: Provides an overview of the advances in the theory of noncommutative motives. Part one is devoted to the study of DG categories from a homotopical viewpoint; part two covers the theory of noncommutative pure motives, noncommutative standard conjectures, and noncommutative motivic Galois groups; the third part is devoted to the theory of noncommutative mixed motives.

Commutative Algebra and Noncommutative Algebraic Geometry

Автор: Eisenbud
Название: Commutative Algebra and Noncommutative Algebraic Geometry
ISBN: 1107065623 ISBN-13(EAN): 9781107065628
Издательство: Cambridge Academ
Рейтинг:
Цена: 155230.00 T
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Описание: This book surveys fundamental current topics in these two areas of research, emphasising the lively interaction between them. Volume 1 contains expository papers ideal for those entering the field.

Noncommutative Geometry and Cayley-smooth Orders

Автор: Le Bruyn, Lieven
Название: Noncommutative Geometry and Cayley-smooth Orders
ISBN: 0367388707 ISBN-13(EAN): 9780367388706
Издательство: Taylor&Francis
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Цена: 65320.00 T
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Описание:

Noncommutative Geometry and Cayley-smooth Orders explains the theory of Cayley-smooth orders in central simple algebras over function fields of varieties. In particular, the book describes the йtale local structure of such orders as well as their central singularities and finite dimensional representations.

After an introduction to partial desingularizations of commutative singularities from noncommutative algebras, the book presents the invariant theoretic description of orders and their centers. It proceeds to introduce йtale topology and its use in noncommutative algebra as well as to collect the necessary material on representations of quivers. The subsequent chapters explain the йtale local structure of a Cayley-smooth order in a semisimple representation, classify the associated central singularity to smooth equivalence, describe the nullcone of these marked quiver representations, and relate them to the study of all isomorphism classes of n-dimensional representations of a Cayley-smooth order. The final chapters study Quillen-smooth algebras via their finite dimensional representations.

Noncommutative Geometry and Cayley-smooth Orders provides a gentle introduction to one of mathematics' and physics' hottest topics.


Commutative Algebra and Noncommutative Algebraic Geometry

Автор: Eisenbud
Название: Commutative Algebra and Noncommutative Algebraic Geometry
ISBN: 110714972X ISBN-13(EAN): 9781107149724
Издательство: Cambridge Academ
Рейтинг:
Цена: 121440.00 T
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Описание: In recent years there have been many significant developments in these two fields; furthermore, the boundary between them has become increasingly blurred. Based on a series of successful lectures, this two-volume series contains survey articles and research papers by experts in the field which emphasise the connections between them. Volume 2 focuses on the most recent research.

Noncommutative Geometry and the Standard Model of Elementary Particle Physics

Автор: Florian Scheck; Wend Werner; Harald Upmeier
Название: Noncommutative Geometry and the Standard Model of Elementary Particle Physics
ISBN: 3642078974 ISBN-13(EAN): 9783642078972
Издательство: Springer
Рейтинг:
Цена: 95770.00 T
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Representation Theory and Noncommutative Harmonic Analysis I

Автор: A.A. Kirillov; A.A. Kirillov; V. Soucek; Yu.A. Ner
Название: Representation Theory and Noncommutative Harmonic Analysis I
ISBN: 3540186980 ISBN-13(EAN): 9783540186984
Издательство: Springer
Рейтинг:
Цена: 130430.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This two-part survey provides a short review of the classical part of representation theory, carefully exposing the structure of the theory without overwhelming readers with details, and deals with representations of Virasoro and Kac-Moody algebra. It presents a wealth of recent results on representations of infinite-dimensional groups.


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