Representation Theory and Noncommutative Harmonic Analysis II, G.van Dijk; A.A. Kirillov; A.U. Klimyk; V.F. Molch

Автор: Alain Connes
Название: Noncommutative Geometry,
ISBN: 012185860X ISBN-13(EAN): 9780121858605
Издательство: Elsevier Science
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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.

Автор: Eguchi
Название: Symplectic, Poisson, and Noncommutative Geometry
ISBN: 1107056411 ISBN-13(EAN): 9781107056411
Издательство: Cambridge Academ
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Описание: This volume contains seven chapters based on lectures given by invited speakers at two May 2010 workshops held at the Mathematical Sciences Research Institute: Symplectic and Poisson Geometry in Interaction with Analysis, Algebra and Topology (honoring Alan Weinstein, one of the key figures in the field) and Symplectic Geometry, Noncommutative Geometry and Physics.

Название: Introduction to Noncommutative Algebra
ISBN: 3319086928 ISBN-13(EAN): 9783319086927
Издательство: Springer
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Описание: Providing an elementary introduction to noncommutative rings and algebras, this textbook begins with the classical theory of finite dimensional algebras. The final chapters treat free algebras, polynomial identities, and rings of quotients.Many of the results are not presented in their full generality.

Автор: Vladimir E. Nazaykinskiy; A. Yu. Savin; B. Yu. Ste
Название: Elliptic Theory and Noncommutative Geometry
ISBN: 3764387742 ISBN-13(EAN): 9783764387747
Издательство: Springer
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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.

Автор: Caterina Consani; Klas Diederich; Matilde Marcolli
Название: Noncommutative Geometry and Number Theory
ISBN: 3834826731 ISBN-13(EAN): 9783834826732
Издательство: Springer
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Цена: 11101.00 р.
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Описание: In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and K-Theory. Research across these ?elds has now reached an imp- tant turning point, as shows the increasing interest with which the mathematical community approaches these topics. This volume collects and presents up-to-date research topics in arithmetic and noncommutative geometry and ideas from physics that point to possible new c- nections between the ?elds of number theory, algebraic geometry and noncom- tative geometry. Thecontributionstothisvolumepartlyre?ectthetwoworkshops"Noncom- tative Geometry and Number Theory" that took place at the Max-Planck-Institut f] ur Mathematik in Bonn, in August 2003 and June 2004. The two workshops were the ?rst activity entirely dedicated to the interplay between these two ?elds of mathematics. An important part of the activities, which is also re?ected in this volume, came from the hindsight of physics which often provides new perspectives onnumber theoretic problems that make it possible to employ the tools of nonc- mutative geometry, well designed to describe the quantum world.

Автор: Ursula Carow-Watamura; Yoshiaki Maeda; Satoshi Wat
Название: Quantum Field Theory and Noncommutative Geometry
ISBN: 3642062873 ISBN-13(EAN): 9783642062872
Издательство: Springer
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Цена: 11099.00 р.
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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.

Автор: Giovanni Landi
Название: An Introduction to Noncommutative Spaces and Their Geometries
ISBN: 3662141094 ISBN-13(EAN): 9783662141090
Издательство: Springer
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Описание: These lecture notes are an introduction to several ideas and applications of noncommutative geometry. It starts with a not necessarily commutative but associative algebra which is thought of as the algebra of functions on some `virtual noncommutative space`.

Автор: Eisenbud
Название: Commutative Algebra and Noncommutative Algebraic Geometry
ISBN: 1107065623 ISBN-13(EAN): 9781107065628
Издательство: Cambridge Academ
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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.