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Noncommutative Geometry: A Functorial Approach, Igor V. Nikolaev


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в Мои желания

Автор: Igor V. Nikolaev
Название:  Noncommutative Geometry: A Functorial Approach
ISBN: 9783110543179
Издательство: Walter de Gruyter
Классификация:


ISBN-10: 3110543176
Обложка/Формат: Hardcover
Страницы: 276
Вес: 0.59 кг.
Дата издания: 07.11.2017
Серия: Mathematics
Язык: English
Размер: 244 x 175 x 20
Читательская аудитория: Professional and scholarly
Ключевые слова: Algebra,Number theory,Geometry,Algebraic geometry, MATHEMATICS / Algebra / Abstract,MATHEMATICS / Geometry / General,MATHEMATICS / Geometry / Algebraic,MATHEMATICS / Number Theory
Поставляется из: Германии
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



A First Course in Noncommutative Rings

Автор: T.Y. Lam
Название: A First Course in Noncommutative Rings
ISBN: 1468404083 ISBN-13(EAN): 9781468404081
Издательство: Springer
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Цена: 74490.00 T
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Описание: One of my favorite graduate courses at Berkeley is Math 251, a one-semester course in ring theory offered to second-year level graduate students. I taught this course in the Fall of 1983, and more recently in the Spring of 1990, both times focusing on the theory of noncommutative rings. This book is an outgrowth of my lectures in these two courses, and is intended for use by instructors and graduate students in a similar one-semester course in basic ring theory.

Ring theory is a subject of central importance in algebra. Historically, some of the major discoveries in ring theory have helped shape the course of development of modern abstract algebra. Today, ring theory is a fer tile meeting ground for group theory (group rings), representation theory (modules), functional analysis (operator algebras), Lie theory (enveloping algebras), algebraic geometry (finitely generated algebras, differential op erators, invariant theory), arithmetic (orders, Brauer groups), universal algebra (varieties of rings), and homological algebra (cohomology of rings, projective modules, Grothendieck and higher K-groups).

In view of these basic connections between ring theory and other branches of mathemat ics, it is perhaps no exaggeration to say that a course in ring theory is an indispensable part of the education for any fledgling algebraist. The purpose of my lectures was to give a general introduction to the theory of rings, building on what the students have learned from a stan dard first-year graduate course in abstract algebra.


Noncommutative Algebraic Geometry

Автор: Bellamy
Название: Noncommutative Algebraic Geometry
ISBN: 1107129540 ISBN-13(EAN): 9781107129542
Издательство: Cambridge Academ
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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.

Elliptic Theory and Noncommutative Geometry

Автор: Vladimir E. Nazaykinskiy; A. Yu. Savin; B. Yu. Ste
Название: Elliptic Theory and Noncommutative Geometry
ISBN: 3764387742 ISBN-13(EAN): 9783764387747
Издательство: Springer
Рейтинг:
Цена: 107130.00 T
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Описание: This comprehensive yet concise book deals with nonlocal elliptic differential operators. This is the first book featuring a consistent application of methods of noncommutative geometry to the index problem in the theory of nonlocal elliptic operators.

Noncommutative Differential Geometry and Its Applications to Physics

Автор: Yoshiaki Maeda; Hitoshi Moriyoshi; Hideki Omori; D
Название: Noncommutative Differential Geometry and Its Applications to Physics
ISBN: 9401038295 ISBN-13(EAN): 9789401038294
Издательство: Springer
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Цена: 121890.00 T
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Описание: Proceedings of the Workshop at Shonan, Japan, June 1999

Commutative Algebra and Noncommutative Algebraic Geometry

Автор: Eisenbud
Название: Commutative Algebra and Noncommutative Algebraic Geometry
ISBN: 110714972X ISBN-13(EAN): 9781107149724
Издательство: Cambridge Academ
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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.

Spectral Action in Noncommutative Geometry

Автор: Eckstein
Название: Spectral Action in Noncommutative Geometry
ISBN: 3319947877 ISBN-13(EAN): 9783319947877
Издательство: Springer
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Цена: 51230.00 T
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Описание: This book offers a guided tour through the mathematical habitat of noncommutative geometry a la Connes, deliberately unveiling the answers to these questions. After a brief preface flashing the panorama of the spectral approach, a concise primer on spectral triples is given.

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
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Цена: 95770.00 T
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Quantization, Geometry and Noncommutative Structures in Mathematics and Physics

Автор: Alexander Cardona; Pedro Morales; Hern?n Ocampo;
Название: Quantization, Geometry and Noncommutative Structures in Mathematics and Physics
ISBN: 3319654268 ISBN-13(EAN): 9783319654263
Издательство: Springer
Рейтинг:
Цена: 102480.00 T
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Elements of Noncommutative Geometry

Автор: Jose M. Gracia-Bondia; Joseph C. Varilly; Hector F
Название: Elements of Noncommutative Geometry
ISBN: 146126569X ISBN-13(EAN): 9781461265696
Издательство: Springer
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Цена: 83850.00 T
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